What is the y-intercept of the line that passes through the point (-8,7) and is perpendicular to the line y=2x+5?

Answer 1

a perpendicular line has a negative inverse slope. -1/2 is the negative inverse of 2

y= -x/2 + b where b= the y intercept. Plug in the point (-8,7) to solve for b

7 =-(-8)/2 + b

b = 7 -4 = 3 = the y intercept