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

Slope of line l m = (5 + 7)/(- 2 - 4) = -2. So, slope of unknown line M = 1/2;

Equation of this line: y = 9 + 1/2(x - 2); y = 1/2x + 8