Write an equation of the line that passes through (-3,7) and is perpendicular to the line y=-2x-5.

The desired equation is

y = (1/2) x + 17/2

Step-by-step explanation:

The slope of the perpendicular line is the negative reciprocal of - 2: m = 1/2.

Start with y = mx + b.

Substituting 7 for y, 1/2 for m and - 3 for x, we get:

7 = (1/2) (-3) + b. Then 7 = - 3/2 + b, so that b = 17/2.

The desired equation is

y = (1/2) x + 17/2