Answer:
y=-3/2x+1
Step-by-step explanation:
To write the equation of a line we must have a slope and a point. To find the slope we use the slope formula and substitute (x,y) points in it as shown below:
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{4--2}{-2-2}=\frac{4+2}{-2+-2}=\frac{6}{-4}=\frac{-3}{2}[/tex]
Now that we have the slope, plug in the slope and choose one point to plug into the point slope formula. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.
(y--2)=-3/2(x-2)
y+2=-3/2(x-2)
y+2=-3/2x+3
y=-3/2x+1
