Answers
Answer:
Step-by-step explanation:
Mark the two points (-1,7) and (1,-1) on the graph. Then draw a straight line between them. To determine the equation that goes through these two points, we can use the two given points to find the slope of the line. The standard form of a straight line equation is
y = mx + b,
where m is the slope and y is the y-intercept (the value of y when x = 0).
Slope is also known as the "Rise"/"Run" - the change in y divided by the change in x. We can use the two points to calculate this:
Rise (-1-(7) = -8 Run = (1 - (-1) = 2
The slope is therefore (-8/2) or -4.
y = -4x + b
We can find b by entering either of the two points in y = -4x + b and solve for b. I'll use (1,-1) since I have my 1's multiplication table memorized
y = -4x + b
-1 = -4(1) + b
b = 3
The straight line equation that connects the two points is
y = -4x + 3
You can graph this equation (e.g., on DESMOS) to see how it intersects the points. [Attached]
The coordinates of the y intercept are (0,3).
The coordinate of the y-intercept of the line is (0, 3)
Equation of a line
The equation of a line in slope-intercept form is expressed as y = mx + b.
where:
m is the slope the lineb is the y-interceptGiven the coordinate points (-1, 7) and (1, -1).
Get the slope
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{-1-7}{1-(-1)}\\ m=\frac{-8}{1+1}\\ m=\frac{-8}{2}\\ m=-4[/tex]
Get the y-intercept:
Recall that y = mx + b
Using the coordinate point (1, -1) and m = -4
-1 = -4(1) + b
-1 = -4 + b
b = -1 + 4
b = 3
The equation of the line is y = -4x + 3
Get the y-intercept:The y-intercept occurs at the point where x = 0
y = -4(0) + 3
y = 0 + 3
y = 3
Hence the coordinate of the y-intercept of the line is (0, 3)
Learn more on y-intercept here: https://brainly.com/question/25722412
Related Questions
-2x=-2x+8
i need help asap
step by step please
Answers
Answer:
0=8
Step-by-step explanation:
Pls help meeeeeeeeeee
Answers
Answer:
Step-by-step explanation:
He should be just fine.
There are 1000 grams in a kilogram.
He has 3410 grams [ 1 kg / 1000 grams ] = 3.410 kg.
He has 3 kg with 0.410 kg left over.
What is the answer to the question below, I have been working on it for a while. Plz help!
The quotient of 10 times m and 7
Answers
Answer:
10m / 7
Step-by-step explanation:
times = multiplication of 10 and variable m
quotient of = division of 7
What is the result when the number 10 is increased by 20%?
Answers
Answer:
1.20 percent
Step-by-step explanation:
can someone help me peaseeeee
Answers
Aroha is 3 years older than her brother. The sum of Aroha's age and her brother's age is 31. Write and solve and equation to find their ages
Answers
Answer:
Therefore, Aroha is 17 yrs old and her brother is 14 yrs old.
Step-by-step explanation:
Let's represent Aroha's brother's Agee with the letter "b" yrs old.
If Aroha is 3yrs older than her brother, she's : (b+3) yrs old.
The sum of their ages is 31,
b+(b+3)=31
2b+3=31
Collect like terms,
2b=31-3
2b=28
Divide both sides by 2,
b=14
b+3=17
A cheerful teen hoping this helps,
stay techy, brilliant and positive!
what is the vertical asymptote for this function?
y=1/x-2
Answers
Answer: x = 0
Step-by-step explanation: so x = 0 is the equation of the vertical asymptote, and 0 must be left out of the domain: (−∞,0)U(0,∞) in interval notation.
Answer:
2
Step-by-step explanation:
Solve for (x)
I need help with 10(b)
Please
Answers
Answer:
x = 4
Step-by-step explanation:
(b)
[tex]\frac{2x+1}{3}[/tex] = 5 - [tex]\frac{1}{2}[/tex] x
Multiply through by 6 ( the LCM of 3 and 2 ) to clear the fractions
2(2x + 1) = 30 - 3x , distribute parenthesis on left side
4x + 2 = 30 - 3x ( add 3x to both sides )
7x + 2 = 30 ( subtract 2 from both sides )
7x = 28 ( divide both sides by 7 )
x = 4
what is the discriminant of f(x)=2x^2+8x+16
and the number and type of roots
Answers
Answer:
2 imaginary roots
Step-by-step explanation:
The discriminate is the portion of the quadratic equation under the square root
D = b^2 - 4ac
D = 8^2 - 4(2)(16)
D = 64 - 128
D = -64
Since the discriminate is negative the square root will be imaginary
and there will be 2 of them
2 imaginary roots
9514 1404 393
Answer:
discriminant: -64two complex rootsStep-by-step explanation:
The discriminant of ax² +bx +c = 0 is b²-4ac. Here, we have ...
a=2, b=8, c=16
so, the discriminant is 8² -4(2)(16) = 64 -128 = -64
A negative discriminant indicates there are two conjugate complex roots.
Anna wants to bake $2\frac{1}{2}$ dozen cookies for a party. However, the recipe she has only makes a dozen cookies. If the original recipe calls for $1\frac{1}{4}$ cups of sugar, how many cups of sugar does she need to make the cookies for her party?
Answers
ANSWER: Loudest spliff
Explain why 4:6 and 8: 10 are not
equivalent ratios.
Answers
Answer:
Because when 4:6 is simplified, you get 2:3, but when 8:10 is simplified, you get 4:5
So, they are not equivalent ratios because their simplified ratios are not the same.
Step-by-step explanation:
Hope this is helpful.
Since the value of the given ratios are different they can not be said to be the equivalent ratio.
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
It is given that the two ratios are 4:6 and 8: 10.
Ratios with the same value are said to be equivalent. If we multiply both portions of a ratio by the same number, we can create comparable ratios.
The ratio 4/6 is in the lowest term is 2/3 equal to 0.66
The ratio 8/10 is in the lowest term is 4/5 equal to 0.8
The values of both ratios are different.
Thus, the values of the given ratios are different they can not be said to be the equivalent ratio.
Learn more about the ratio here:
brainly.com/question/13419413
#SPJ2
Lim wrote several pairs of values that he thought were equivalent. Which of his equations is correct?
3/5 = 60%
0.06 = 60%
0.002 = 2%
1/4 = 75%
Answers
Answer:
I believe the correct answer would be A: 3/5 = 60
Step-by-step explanation:
Firstly, the second option is wrong because 0.06 would be 6 hundredths, so that is wrong, the third option would be incorrect because 0.002 would equal 2 thousandths so that is also wrong, and the fourth option would be 25% instead of 75%, so your answer should be A.
Solve for X
6-6x=6x-8x+14
Answers
Explanation:
6-6x=-2x+14
-6x+2x=14-6
-4x=8
x=-2
The Roosevelts and the Jaspers live in the same city and pay the same sales
Roosevelts made $91,000 and the Jaspers made $37,000 last year, is the
sales tax in their city an example of a regressive tax?
tax rate, and both families made $16,000 in taxable purchases last year. If the If
Answers
Answer:
Yes, the sales tax in their city is an example of regressive tax
Step-by-step explanation:
Firstly, we need to understand what is meant by the term regressive tax.
What is meant by a regressive tax system is a system of taxation in which there is a decrease in tax rate as there is an increase in amount subjected to tax.
Now, the key to knowing if what we have in the question is a regressive taxation is by calculating the percentage of the tax that was paid.
For the Roosevelt’s , the percentage of tax paid would be 16,000/91,000 * 100% = 17.6%
For the Jasper’s, the percentage of tax paid would be 16,000/37,000 * 100% = 43.24%
We can see that at a lower amount subjected to tax, the Jasper’s paid more and thus we can conclude irrevocably that sales tax in their city is an example of a regressive tax
Help me please!! This is timed and I’m stuck
Answers
Answer:
D is the correct answer
Step-by-step explanation:
Answer:
B. 13/2Step-by-step explanation:
Given equation:
2x² + 7x - 15 = 0It has roots r and s.
We know how to find the sum and product of roots.
Sum of roots:
r + s = -7/2Product of roots:
rs = -15/2Use the above two equations to work out the value of r - s:
[tex]r - s = \sqrt{(r - s)^2} =[/tex][tex]\sqrt{(r+s)^2-4rs} =[/tex][tex]\sqrt{(-7/2)^2-4(-15/2)} =[/tex][tex]\sqrt{169/4} =13/2[/tex]Correct choice is B
When playing a game of capture the flag how would a player best position themselves from being tagged and placed in the jail?
On their own team's side of the center line
On their opponent's side of the field, nearest the flags
Near the center line so they can move back and forth between the two sides
Near the back corner of the opponents flag area
Answers
Answer:
Near the center line so they can move back and forth between the two sides
Step-by-step explanation:
If two line are perpendicular which statement is true
Answers
Hope this helps you. Have a great day
plsss helppp
can you pls do this?
Answers
What is the area of this tile?
Answers
Answer:
Area: 9 in.²
Step-by-step explanation:
Area of square: side²
=> Area of Square tile: 3²
=> 9 in.²
Hoped this helped.
Answer:
9
Step-by-step explanation:
To find the area of a square, multiply both sides.
3*3=9
1/243 as an expression using a negative exponent other than -1
Answers
Answer: To get the expression with negative exponent, we need to convert the number 1024 in exponential form
Replace the denominator by 2^10
Now we apply exponential property
negative exponent other than -1 is
In a school 2/3 of the students study a language
Of those who study a language, 2/5 study french
Find the ratio of students who study French to students who do not study french. Give your answer in it simplest form.
Answers
Answer:
4:6
or 4/15 : 2/5
Step-by-step explanation:
6. (4. 1) and (1, 4) are on the line
Answers
Answer: This is used by
Step-by-step explanation:
#20 i
Find the coordinates of the midpoint of the line segment with the endpoints R(-5, -7) and
S(2, -4)
Answers
Answer:
First, we need to know the relationship between "a" and "c". And "10" is not a co-ordinate. A co-ordinate has 2 or 3 numbers in it like 10,17, or like 10,17,5.
Step-by-step explanation:
Graph the equation on the coordinate plane using the slope and y-intercept.
y=−2x
Answers
Answer:
Step-by-step explanation:
A line that includes the point (-1,5) has a slope of 4. What is its equation in slope-intercept
form?
Answers
Answer:
y=4x+9
Step-by-step explanation:
The slope intercept form is [tex]y=mx+b[/tex]
So m=4 and we plug it into the equation [tex]y=4x+b[/tex]
Since there are x point is -1 and y point is 5 we plug those in replacing the corresponding variables [tex]5=4(-1)+b[/tex]
So the equation becomes [tex]5=4+b[/tex]
We add 4 to both sides [tex]5=4+b\\+4=+4[/tex] so 9 equals b
Then we rewrite the whole equation as [tex]y=4x+9[/tex]
Please help I don’t understand
Answers
Answer:
The value of x so f (x) = 7 is 5.
Step-by-step explanation:
Use: 0, 4, 6 11, 9,8, 9, 1, 5 9, 7 to construct a line plot. Describe the line plot to the best of your ability in the box below
Answers
Answer:
0, 1, 4, 5, 6, 7, 8, 9, 9, 11.
Step-by-step explanation:
Since 11 is the maximum number in the line plot, 0 is the least number, and 7 is the medium number on the line plot.
x
x x x x x x x x x
0 1 4 5 6 7 8 9 11
Two step equation, I don’t know how to do the problem step by step. 3x+9=5. I know that the answer is -1 1/3 but I don’t know how
Answers
Answer:
Below
Step-by-step explanation:
1. 3x+9=5
2. 3x+9-9=5-9
3. 3x=-4
5. 3x/3=-4/3
6. -4/3
7. -1 1/3
Answer:
The answer is -4/3 or - 1 1/3
Step-by-step explanation:
3x+9= 5
-9 -9
3x = -4
/3 /3
Y= -4/3 or [tex]-1\frac{1}{3}[/tex]
Step 1: Add subtract 9 to both sides because you want to cancel out the 9 so you do the opposite of what is say's. For example, if it says 3x-9 add 9 or 3x+9 subtract 9 from both sides.
Step 2: Add subtract 9 to 5 which would be -4. So you should have 3x= -4 now
Step 3: Since you're "multiplying" 3 to x you're going to divide 3 to get Y by itself. So 3/3 cancels out and now you're left with y
Step 4: Divide 3 from -4 and you get -4/3
Let me know if you have any questions and I hope this helps :)
A piano teacher gives lessons that are each Three-fourths hour long. How many piano lessons can the teacher fit into a 12-hour work day? Assume no breaks are taken in the 12 hour period.
6
9
11
16
Answers
Answer:
26.6666666667
Step-by-step explanation:
3/4 of a hour is 45 minutes 12 ÷ by 0.45 would equal 26.6666666667
x^8+8x^7+15x^6−9x^5−72x^4−135x^3+8x^2+64x+120
Factor completely given the following factors: (x+5) and (x+3)
There should be 6 factors (2 given, 2 binomials, and 2 trinomials.)
show steps
Answers
Answer:
(x+3)(x+5)(x-2)(x-1)(x^2+2x+4)(x^2+x+1) where the given one is bolded the 2 binomials is italicized and the 2 trinomials is underlined
Step-by-step explanation:
