Find a equation of the line containing each pair of points. Write your final answer in slope-intercept form.. (-2,0) and (0,-7)

Question

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Answer 1

OK, Sharon, we know that slope-intercept form is y = mx +b

 

The slope is the change in y/change in x, sometimes written as (y₂ - y₁)/(x₂ - x₁).

 

So, we have (0 - (-7))/(-2 - 0) = 7/-2 = -7/2

 

To find our b, pick either point and plug in the x and y with our slope.

 

0 = -7/2(-2) + b

 

0 = 7 + b

 

b = -7

 

Now that we have our slope and y-intercept, simply plug them into y = mx + b, so y = -7/2x - 7.

 

To check your answer, plug both points in and make sure they work.

 

0 = -7/2(-2) - 7

0 = 7 - 7

0 = 0

 

-7 = -7/2(0) - 7

-7 = 0 - 7

-7 = -7

 

Hope this helps!