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 line through (-8,7) is y-7 = m(x+8) where m= slope

the slope of a perpendicular line has a negative inverse slope = -1/2 = m

-1/2 is the negative inverse of 2

the perpendicular line through the given point is

y-7 = (-1/2)(x+8) = -x/2 -4

or y = -x/2 -4 +7

y = -x/2 + 3 where 3 = the y intercept