y = (1/2)x - 4
Step-by-step explanation:
The equation of the given line is
y = -2x + 13
The equation of the perpendicular line that we need must have a slope of 1/2 and passes through (2, -3) so the form should be
y = (1/2)x + b
To solve for b, use the point (2, -3)
-3 = (1/2)(2) + b ---> b = -4
Therefore, the equation that we need has the form
y = (1/2)x - 4
