Question

Line m includes the points (-5, 3) and (-2,-6). Line n is parallel to line m and has

y-intercept of -2/3. Write the equation for line n in slope-intercept form.

Answer 1

y+2/3=9/7(x-0)

Explanation:

1. Find the slope

`(-6-3)/(-2-5) = (-9)/(-7) = (9)/(7)`

2. Since they are parallel the slopes are the same

3. Insert slope and y-intercept into slope intercept form y-y=m(x-x)

y-(-2/3)=9/7(x-(0))

4. Since I am too lazy to look for another point I will use the intercept point (0,-2/3)

5. Simplify

y+2/3=9/7(x-0)