i do not know how to solve this

Question

Line ℓ passes through (-2, 5) and (4, -7). Write an equation for the line that passes through (2, 9) and is perpendicular

to line ℓ. Leave in slope-intercept form.

Answer 1

the given line has slope = -2

perpendicular line's slope is the negative inverse = 1/2

y= .5x +b

9 = .5(2)+b

b= 9-1 = 8

y=.5x+8 is the perpendicular line through (2,9)