what is the equation of the line that passes through the points (-3,5) (6,8)

Answers

Answer 1

[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{8}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{(-3)}}}\implies \cfrac{3}{6+3}\implies \cfrac{3}{9}\implies \cfrac{1}{3}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{\cfrac{1}{3}}(x-\stackrel{x_1}{(-3)}) \\\\\\ y-5=\cfrac{1}{3}(x+3)\implies y-5=\cfrac{1}{3}x+1\implies y=\cfrac{1}{3}x+6[/tex]


Related Questions

The sales tax rate in New Mexico is 5.125%. Which equations represent the sales tax, t, you would pay in New Mexico for an item of cost c?

Answers

t = 0.05125c

please give brainliest

giving brainly if correct

this model represents which equation?
a. 3/4 ÷ 3/8
b. 10 ÷ 6
c. 6/10 ÷ 2
d. 3/4 ÷ 1/2​

Answers

D)
This is because the models show originally 3/4 of it in blue. Then it continues to break the blue up in two parts meaning 1/2.

There are 46 children at the zoo. Twenty-nine students like popcorn and twenty like peanuts. Fifteen like both. How many students like neither popcorn nor peanuts?

Answers

Answer:none

Step-by-step explanation:

You must mean 64 instead of 46.Because 29+20+15=64 but none would agree to dislike both popcorn not peanuts.

PLEASE HELP WITH THIS PLEASE

Answers

The answer is X-2
The third answer

Answer:

x - 2

Step-by-step explanation:

If (x - h) is a factor of f(x) then f(h) = 0

Here f(2) = 0 , then x - 2 is a factor of f(x)

BRING IT ON!!!!!! >:)

Answers

Answer: *scared*

Step-by-step explanation:

Alberto has a scale drawing of an object whose area is 12 square centimeters. The scale factor is 1:3 Alberto says that the area of a real object is 36 square centimeters is Alberto's answer is correct.

WIL GIVE GIVE BRAINLIEST LOTS OF POINTS​

Answers

Answer:

No, Albert's answer is not correct

Step-by-step explanation:

For illustrative purposes, let's say the object is a rectangle with width 2cm and length 6cm.  

Therefore, area = width x length = 2 x 6 = 12 cm²

If the scale factor is 1 : 3, then each side of the real object should be 3 times larger than the scale drawing.

So the width = 2 x 3 = 6 cm

and the length = 6 x 3 = 18 cm

Therefore, the area of this rectangle would be 6 x 18 = 108 cm²

So the scale factor of the area is:  12 : 108 = 1 : 9

so Alberto's answer is incorrect, as 12 : 36 is NOT 1 : 9

Karen jumped rope for 20 minutes she stopped at 8:05 when does she start jumping

Answers

she started jumping rope at 7:45

how many 1/2s are in 3/8

Answers

The answer is 3/16 because half of 3/8 is 3/16

Answer:

3/4 is your answer, good sir. (or ma'am)

Step-by-step explanation:

3/8 divided by 1/2 = 3/8 times 2/1 = 6/8 and that simplifies to 3/4

So, 3/4 of a half is in 3/8

What is the volume of this rectangular prism?
4/3cm 4/3cm 4/3cm

Answers

Answer:

2.37 [tex]cm^{3}[/tex]

Step-by-step explanation:

Multiply all dimensions of the rectangular prism

length x width x height = volume

4/3 cm x 4/3 cm x 4/3 cm = 2.37 [tex]cm^{3}[/tex]

Answer in Mixed Number: [tex]2\frac{10}{27}[/tex]

Answer in Improper Fraction: [tex]\frac{64}{27}[/tex]

NEED HELP ASAP PLZZZZZ!!!!!

Answers

Answer:

The Angle-Side-Angle Postulate (ASA)

Step-by-step explanation:

The height of a tower on a scale drawing is 14 centimeters. The scale is 2 cm : 29 m. What is the actual height of the tower?

Answers

Answer:

203 m

Step-by-step explanation:

Set up a proportion and solve it.

drawing size     :     real size

      14 cm          :           x

       2 cm          :          29 m

14/x = 2/29

2x = 14 × 29

x = 7 × 29

x = 203

Answer: 203 m

What is the value of x?

Answers

Answer:

8

Step-by-step explanation:

10x+14=94 so it will be x=8

Suppose that after 10 years of service, 40% of computers have problems with motherboards (MB), 30% have problems with hard drives (HD), and 15% have problems with both MB and HD.
(a) Are the events A have problems with motherboards" and B have problems with hard drives independent? Why or why not?
(b) What is the probability that a 10-year old computer still has fully functioning MB and HD?

Answers

Homes I’m not sure dude

PLEASE HELP!! In a pet store, the ratio of fish to birds is 8 to 3. There are 24 fish in the store.

What is the total number of fish and birds in the store?

Enter your answer in the box.

Answers

F : B
8 : 3

24/8 = 3

Fish = 24
Birds = 3*3 = 9

24 + 9 = 33 birds and fish altogether


Someone help me with these 3 problems!!!! Due tomorrow!!!

Answers

Answer:

3. x[tex]\leq[/tex]-1    

5. n[tex]\geq[/tex]6

7. n[tex]>[/tex]11

Step-by-step explanation:

3. -7+x[tex]\geq[/tex]-8              5. n-2[tex]\leq[/tex]4           7.  -18+n[tex]<[/tex]-7  

   +7     +7                   +2 +2                +18    +18

    x[tex]\leq[/tex]-1                          n[tex]\geq[/tex]6                     n[tex]>[/tex]11

Pleasee help me with this ty…………

Answers

Answer:

28.4

Step-by-step explanation:

IJ corresponds to FG, and JK corresponds to GH. So, x/6 = 52/11. 11x = 312, x = 28.36, which rounds to 28.4

The tree diagram represents an
experiment consisting of two trials
P(A) =[?]

Answers

Answer:

0.18Step-by-step explanation:

correct answer: P(A) = 0.5

I kinda suck at inequalities, help pls:,)​

Answers

This is your answer

Hope this helps

Select the equation in slope-intercept form for the line through points (5, - 3) and (10, - 2) and is perpendicular to the line described by y = - 5x + 4

Answers

Answer:

y = x/5 - 4

second option is the correct answer.

Step-by-step explanation:

y = -5x+4

y = mx+b

m = -5

Now

Slope of the line perpendicular to a line would be the negative proprtional of the slope of the line.

so,

For the points (5,-3) and (10,-2)

m = 1/5

y = mx + b

or, -3 = 1/5 × x + b

or, -3 = 1/5 × 5 + b

or, -3 = 1+b

so, b = -4

Now,

y = mx+b

or, y = 1/5 × x + (-4)

or, y = x/5 - 4

14
13
10
9
need to show work!!!

Answers

Answer:

9

Step-by-step explanation:

Since you have a right triangle, you can use the Pythagorean theorem.

a² + b² = c²

x² + 5² = 10²

x² + 25 = 100

x² = 75

x = √75

x = 5√3 = 8.66...

x = 9

Stephanie is saving money for a computer. So far she has saved $350. Write an equation to show how much she needs to save each month,m, for the next year so she has $1600 to spend on the computer.

Answers

Answer:

I believe the answer is x less than > with a line under it 83.33.

Circle all the true equations
A. 5+0=0
B. 15 x 0=0
C. 1.4+2.7=4.1
D. 2/3 x 5/9= 7/12
E. 4 2/3 = 5- 1/3

Answers

The answer are B and C

Solve the simultaneous equations
-x + 5y = -7
x + y = – 5
x = 1
y= 0

Answers

Answer:

y=-x-5

-x+5(-x-5)=-7

-x-5x-25=-7

-6x=18

x=-3

-(-3)+5y=-7

3+5y=-7

5y=-10

y=-2

solution

(-3,-2)

Hope This Helps!!!

Step-by-step explanation:

-x+5y= -7

x+y=-5

add both equation to eliminate x

6y=12 :. y=2

substitute y =2 in equation (2)

x +2 =. -5

x = -5+2 = -3

:. y=-2 ,x = -3

mark me brainliest

how do you do 6x-11=-2x+5

Answers

X=2 because -2x+2 Is canceled then add 2x to 6x which is 8x then add 11 to -11 that’s canceled then add 11 to 5 which is 16 then divide 16 by 8x and x =2

Please help! Due at 11:30!!

Answers

Answer:

B (atleast from my calculations)

Step-by-step explanation:

The top dot is on 2 on the x axis and on 4 on the y axis so

Y=x+2

4=2+2

Hope this helps

I WORK + I LEARN = I PASS
IPASS Corn Maze 2
Tina and her family live on a farm. Each summer
they design and plant a corn maze for local
children to enjoy in the autumn. This year Tina
is designing the maze. Here are the details of
her proposed design.
The corn is to be planted in four
concentric
circles as shown in the diagram.
The radit of the circles of corn are as marked
in the diagram
A 3-Foot arc of each circle of corn will not be
planted, as shown in the picture.
+
Tina's parents want to make a gravel walkway
that will extend 6 feet from the outer circle of
the maze all the way around the maze. Find the
area of the walkway. Round your answer to the
nearest square foot, if necessary.
10 ft
420 ft
30 ft
-40 ft

Answers

Answer:

460 ft long because if you add them all together and minus 40 that what you should get

FACTOR COMPLETELY

x^2-7x+7y-y^2

Answers

Given: [tex] {x}^{2} - 7x + 7y - {y}^{2} [/tex]

Now factoring them,

[tex] = > (x - y)(x + y) - 7(x - y)[/tex]

[tex] = > (x - y)(x + y - 7)[/tex]

Therefore, the answer to the question is [tex] (x - y)(x + y - 7)[/tex]

Hey I need help with please

Thank You.

Answers

10lbs is the weight of the crate

Bonjour quelqu'un pourrait m'aider à résoudre ce calcul svp ?

A= (5+T) (T-2)

Answers

The answer is 5t -10+ T^2 - 2T equal 3T -10 + T^2

If the annual interest rate is 18.240%, what is the daily interest rate?

Answers

Answer:

≈0.0499% with 365 days

Step-by-step explanation:

18.240 / 365 = 0.04997260 (and so on..)

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