Question

What is the equation of the line that passes through the points(-2 2)and (0.5)

Answer 1

(0.5) is not a point.  Rewrite this so that you display both the x-coordinate and the y-coordinate.

Supposing that you meant (-2,2) and (0.5, 1), then the slope of the line passing thru these two points would be 

         1 - 2                -1
m = -------------- = -------- = -4/10 = -2/5
         0.5 - (-2)        2.5

Then, using the point-slope formula, the desired equation would be

y-2 = (-2/5)(x-[-2]), or        y-2 = (-2/5)(x+2)

Answer 2

First find the slope. then Do the y intercept form inserting the points and you'll get an equation.