find the slope of the line -5x - 2y = -2
-2y = 5x -2
y = (-5/2)x + 1
The slope of this line is -5/2
The slope of line we want should be the negative reciprocal of -5/2, or 2/5
and passing through the point (-3, 5)
Use the point slope form:
m = (y - y1)/(x - x1)
2/5 = (y - 5)/(x - (-3))
rearrange to slope intercept form:
2(x + 3) = 5(y - 5)
2x + 6 = 5y - 25
5y = 2x + 6 + 25
5y = 2x + 31
y = (2/5)x + 31/5
