Answer:
y = (1/2)x - 5
Step-by-step explanation:
The slope of the line y = -2x + 5 is -2. The slope of any straight line perpendicular to this line is therefore the negative reciprocal of -2, which comes out to +1/2.
Using this fact, and the point (2, -4), we write out the slope-intercept form y = mx + b, and substitute the appropriate values:
-4 = (1/2)(2) + b
Then:
-4 = 1 + b, which yields b = -5
Thus, the desired equation is y = (1/2)x - 5
