Question

Write the equation of the line that passes through the points (0, -2) and

(-1,0). Put your answer in fully reduced point-slope form, unless it is a
vertical or horizontal line.

Answer 1

y=-2x-2

Explanation:

To find the slope using 2 points, we can use the formula y2-y1/x2-x1.

We have the points (0,-2) and (-1,0)

Using our formula we get 0-(-2)/-1-0 = 0+2/-1 = 2/-1 = -2

Our slope is -2

The equation for point slope form is y=mx + b, we know our m(which is slope) and we can plug in any point for y and x

Let's choose the point (-1,0), plug in -1 for x and 0 for y

0=-2)(-1) + b

0 = 2 +b

b = -2

So, our final equation is y=-2x -2

To check, we can plug in any one of our points to make sure it makes sense (I'm doing (0,-2)).

-2 = -2(0) -2

-2 = -2, which is correct

So, our equation is right!