Question

Write the equation of the line passing through the points (0, -4) and (-2, 2).

Answer 1

m=(y2-y1)/(x2-x1)



m=(2-(-4))/(-2-0)



m=(2+4)/(-2-0)



m=(6)/(-2-0)



m=(6)/(-2)



m=-3



So the slope of the line that goes through the points is m=-3



Now let's use the point slope formula:



y-y1=m(x-x1)



y-(-4)=-3(x-0)



y+4=-3(x-0)



y+4=-3x+-3(-0)



y+4=-3x+0



y+4=-3x



y=-3x-4

Answer 2

\[m=\frac{y-y1}{x-x1}=\frac{-4-2}{0--2}=\frac{-6}{2}\]