Answer:
y = -2x + 2
Step-by-step explanation:
First, find the slope - the slope formula is [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex]. If you plug in the coordinates, you get:
[tex]\frac{2-(-4}{0-3}=\frac{6}{-3} =-2[/tex]
So you plug the slope into the slope-intercept equation:
y = -2x + b
Then to find b, you plug in one of the coordinates (I'll use (0,2)):
2 = -2(0) + b
2 = b
So therefore:
y = -2x + 2
