Question

Write the equation of the line that passes through the points (0,7) and (-4, -9).

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

Answer 1

y=4x+7

First we need to figure out the slope. We can do that using the equation (y2-y1)/(x2-x1). Substitute your numbers in for the xs and ys:

(-9-7)/(-4-0)=

-16/-4=

4

Now that we have the slope, we can figure out the intercept by using the equation y=mx+b and substituting one of the points in for x and y, the slope in for m, and solving for b.

I’m going to use (0,7) as it will be faster:

7=4(0)+b

7=0+b

7=b

The full equation will then be:

y=4x+7