A line passes through the point (-4, 7) and has a slope of -5/4
Write an equation in slope-intercept form for this line.

Answers

Answer 1

Answer:

We conclude that the equation in slope-intercept form for this line will be:

[tex]y\:=\:\frac{-5}{4}x+2[/tex]

Step-by-step explanation:

Given

The point = (-4, 7)slope = m = -5/4

We know that the slope-intercept form of the line equation is

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept

Using the slope-intercept form to find the y-intercept 'b'

substituting m = -5/4 and the point (-4, 7)

[tex]y = mx+b[/tex]

[tex]7=\:\frac{-5}{4}\left(-4\right)+b[/tex]

[tex]-\left(-5\right)+b=7[/tex]

[tex]5+b=7[/tex]

subtract 5 from both sides

[tex]5+b-5=7-5[/tex]

[tex]b=2[/tex]

now substituting b = 2 and m = -5/4 in the slope-intercept form

[tex]y = mx+b[/tex]

[tex]y\:=\:\frac{-5}{4}x+2[/tex]

Therefore, we conclude that the equation in slope-intercept form for this line will be:

[tex]y\:=\:\frac{-5}{4}x+2[/tex]


Related Questions

In the decimal number 5.078, the digit in the hundredths place is a 7.


True False

Answers

Answer:

false

Step-by-step explanation: The 7 is in the tenths place the hundredths place is the 3rd number to the right of the decimal point.

true
the number 7 is in the hundreths place, while the 0 is in the tenths and the 8 is in the thousandths.

Given that a baby is 8month and her elder sister is 4 years old, express their ages as a ratio​

Answers

Answer:

11.10

Step-by-step explanation:

may be not sure about it

Answer:

1:6

Step-by-step explanation:

1 year = 12 months

4 year = 4 × 12 months

          = 48 months

Baby = 8 months

Elder sister = 48 months

B  :  ES

8  :  48

÷8:÷8

1  :  6

Can someone help me

Answers

Answer: its

12 4

_

7

Step-by-step explanation:

Answer:

12 4/7

Step-by-step explanation:

5 1/7 + 7 3/7 =

= 5 + 1/7 + 7 + 3/7

= 5 + 7 + 1/7 + 3/7

= 12 4/7

Answer: 12 4/7

I will give barinest if solved

Answers

Answer:

[tex]x=19[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that,\\Line\ YZ\ ||\ ZW\\\angle XYM=90\\Hence,\\Line\ Segment\ XY\ being\ the\ transversal,\ cuts\ YZ\ and\ XW.\\Hence,\\We\ know\ that\\The\ set\ of\ co-interior\ angles [Interior\ angles\ on\ the\ same\ side\\ of the\ transversal]\ are\ supplementary.\\Hence,\\Here,\\The\ pair\ of\ co-interior\ angles\ formed\ are\ \angle XYZ\ and\ \angle YXW.\\Hence,\ they\ are\ supplementary\ too.\\Hence,\\\angle XYZ\ + \angle YXW= 180\\Hence, by\ substituting\ XYZ=90+2x,\angle YXW=3x-5[/tex][tex]90+2x+(3x-5)=180\\85+5x=180\\5x=180-85\\5x=95\\x=19[/tex]

2×2 dvkjsdnvkjdbvjdbvj

Answers

Answer:

4

Step-by-step explanation:

its 4 lol

Answer:

4

Step-by-step explanation:

Find the 12th term in the following arithmetic sequence

Answers

it is going up by 5 so i believe your answer would be 57

Find the slope-intercept form between the two points (0,-4) and (-3,-10) * 2 points
Your answer

Answers

Answer:

Y=2x-4

Step-by-step explanation:

Find the circumference of the circle. Round your answer to the nearest hundredth. Use 3.14 or 227 for π.


There's a picture of a circle with the radius of 21 cm

Picture of the circle:

Answers

Answer:

65.94cm

Step-by-step explanation:

The two equivalent equations to find the circumference of a circle are:

Circumference = 2 * pi * radius

Circumference = pi * diameter

Since the diameter of the circle is given, in order to find circumference, plug in 21cm into the 2nd equation:

Circumference = pi * diameter = pi * 21 cm = 3.14 * 21 = 65.94 cm

The graph represents the fees in thousands of dollars, y, depending on the amount invested in millions, x, with one financial investment firm. Over what interval is the change constant? [0, 5) [1, 5) [0, 20) [1, 20)

Answers

Answer: The answer is 1,5

Step-by-step its talking about x

Answer:

c

Step-by-step explanation:

bc edge22

A rental car company charges $68.80 per day to rent a car and $0.08
for every mile driven. Paisley wants to rent a car, knowing that:
• She plans to drive 325 miles.
• She has at most $370 to spend.
Write and solve an inequality which can be used to determine d, the
number of days Paisley can afford to rent while staying within her
budget.

Answers

Answer:

5 days maximum

Step-by-step explanation:

Given

Daily charge = $68.80Charge per mile = $0.08Target distance = 325 milesMoney limit = $370

Required inequality:

68.8d + 325*0.08 ≤ 370

Solving for d:

68.8d + 26 ≤ 37068.8d ≤ 344d ≤ 344/68.8d ≤ 5

Up to 5 days is the answer

I have no idea how to solve this, please help with the answer

Answers

SAS similarity. the angle degree is the same. if you multiply 14 and 8 by a factor of 7 you get 98 and 56 which means the triangle have the same ratio making them similar. because of this ratio it makes the side similar therefore being a SAS similarity because the angle is between the sides.

BRAINLIST ASAP
When marcus started school at 5 years old, his parents put $9,050 into a college fund account that earned 7.5% interest. What is the total amount in the account when he starts college at 18 years old? ____

Answers

Answer: 17873.75 dollars

Step-by-step explanation:

We can use the equation: l = p x r x t (Total Interest = principal x interest rate x years/time)

9050 will be the principal; it's the amount you deposit in the first place.

7.5% is the interest rate. You can convert it to 0.075 as a decimal.

13 is the years/time. If Marcus's parents put the college fund in when he was 5 and now he's 18, there has been 13 years in between.

9050 x 0.075 x 13 = 8823.75

8823.75 + 9050 = $17873.75

So in Conclusion, the total amount in the account when Marcus is 18 is 17873.75 dollars.

Hope this helps!

need answer thx in advanace!

Answers

Answer:

13

Step-by-step explanation:

The term is in an arithmetic progression.

That means there is 6 between each term and the next one.

Givens

a = -30

d = 6

last term an = 42

Formula

L = a + (n - 1)*d

Solution

42 = -30 + (n -1 )*6               Add 30 to both sides

42+30 = (n - 1) * 6                Combine the terms on the left.

72 = (n - 1)*6                        Divide both sides by 6

72/6 = n - 1

12     = n - 1                          Add 1 to both sides

12 + 1 = n

n = 13

15. At a football match, 10 men bought either a pie or a cup of
coffee. A pie costs 60p and a coffee costs 50p. The total
amount spent on pies and cups of coffee was £5.80. How many
of each must have been bought?​

Answers

Answer:

8 pies and 2 coffees must have been bought.

Step-by-step explanation:

Given that:

10 men bought either a pie or a cup of coffee.

Cost per pie = 60p

Cost per coffee = 50p

Total amount spent = £5.80 * 100 = 580p

Let,

x be the number of pies

y be the number of coffees

According to given statement;

x+y = 10     Eqn 1

60x+50y=580    Eqn 2

Multiplying Eqn 1 by 50

50(x+y=10)

50x+50y=500      Eqn 3

Subtracting Eqn 2 from Eqn 3

(60x+50y)-(50x+50y) = 580-500

60x+50y-50x-50y=80

10x=80

Dividing both sides by 10

[tex]\frac{10x}{10}=\frac{80}{10}\\x=8[/tex]

Putting x=8 in Eqn 1

8+y=10

y=10-8

y=2

Hence,

8 pies and 2 coffees must have been bought.

Match the term to its meaning.

Answers

Answer:

Step-by-step explanation:

1. commission

2. percent

3. repeating decimal

4. terminating decimal

5. tip

a nursery owner buys 7 panes of glass to fix some damage to her greenhouse. The 7 panes cost $16.45. Unfortunately, she breaks 2 more panes while repairing the damage. What is the cost of another 2 panes of glass?​

Answers

Answer:

It would be $ for 2 other planes of glass because if you take 7 divided by 7 to get 1 pane of glass you have to divide 16.45 by 7 to get how much it costs for 1 pane of glass. So for 1 pane of glass, it is $2.35 then lastly you can either add 2.35 and 2.35 to get $4.70 or take 2.35 times 2 to get your total. So it will cost $4.70 to get 2 panes of glass.

Step-by-step explanation:

please help me and my mom can't figure it out at all​

Answers

Answer:

simple

Step-by-step explanation:

p= 30

hahahaha asking how

ok let's go

that 90°is also 90°in those angles around it

for the 140

sum of angles in a straight line =180

180-140

that's 40

90+40 =130

then sum of angles in a triangle=180

therefore 180-130=50

MAGIC/WISDOM

hope it's helpful thank me later

Please help me thank you I appreciate

Answers

Answer:

90-34=56° .....................

Heather drives 130 miles in 2 hours. If she travels the same distance each hour, how many miles does she drive per hour?​

Answers

Answer:

she drive 65 miles Per hour

Answer:

if she drive for two more hours that means she drove 4 hours and plus 130 plus 130 and that will equal 260. so the answeris 260.

Step-by-step explanation:

1 over 4 as a decimal

Answers

Hey there!

If you want to CONVERT a FRACTION INTO a DECIMAL , all you have to do is this SIMPLE step!

Which is to DIVIDE the NUMERATOR from the DENOMINATOR

The numerator is the TOP number

The denominator is the BOTTOM number

Now let’s solve for your answer

1/4 = 0.25 because 0.25 • 4 = 1

Answer: 0.25 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Best way to learnMath​

Answers

Answer:

ramrari focus and concentration garnu. Ani lightly linu SABAI problems haru .

Answer:

the best way to learn maths is by regular hard work and by practicing of maths daily

Given f-1(x)=-34x+2, which equation represents f(x)?

Answers

There is the answer

Is the function f(x) = 3(.96)x an exponential growth or exponential
decay function? Why?

Answers

Answer:

exponential decay

Step-by-step explanation:

anything less than 1 in the parenthesis is decay

Sophia was out at a restaurant for dinner when the bill came. Her dinner came to $22. She wanted to leave a 21% tip. How much was her meal plus the tip, before tax, in dollars and cents?​

Answers

Answer:

Her meal was $26 and 62 cents

Step-by-step explanation:

Someone help me
6 cm
22 cm
14 cm

Answers

I believe the answer is SA = 1048cm^2

An artist has completed 1/4 of paintings in 2 weeks. At what rate is she working?

Answers

Answer: the rate is (1/8) paintings per week

Step-by-step explanation:

We usually define the rate as the amount of work done in some unit of time.

In this case, we know that the artist does 1/4 of a painting in 2 weeks, then the rate can be written as:

(1/4)/2  paintings/week = (1/8) paintings/week.

This means that the rate is (1/8) paintings per week, this is the weekly rate at which she works.

Which system has exactly one solution?

A. 3x - y =8
6x - 2y = 16

B. Y = 4x + 9
Y = 4x - 9

C. -6x + y = 2
Y = 6x + 2

D. 3x + 2y = 4
x - y = 3

Answers

Answer:

D

Step-by-step explanation:

A. when using elimination all number cancel out making it infinite solutions

B. has the same slope meaning the lines are parallel and will never intersect

C. when you isolate the y on 1 side for the 1st equation the equations are the same meaning infinite solutions

so d is the only one left

Hope this helps or makes sense.

Evaluate the expression 33 • (12 – 2) : 2.
33 • (12 – 2) = 2 =
?

Answers

the answer is 89 and u subtract

Factored quadratic equation for (x + 10)(x -2)=0

Answers

It’s x1=-10 ,x2 = 2 it has 2 solutions x=2 or x=-10

I’m between what two integers is the square root of 77

Answers

Answer:1,7

Step-by-step explanation:

Answer:i think it's 88 86

Step-by-step explanation:

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