Question

A line is perpendicular to y = 1/4x - 8

and intersects the point (2,2).
What is the equation of this
perpendicular line?
y = [?]x+

Answer 1

y = - 4x+10

Explanation:

`y = 1/4x - 8\\(2,2).\\m = (1)/(4) \\For -perpendicularism ; m_1m_2 = -1\\(1)/(4) m_2 =-1\\m_2 = -4\\Substitute (2,2) -into-slope-intercept-form\\y = mx+b\\x = 2\\y =2\\2 = -4(2) +b \\2 = -8+b\\2+8 =b\\10 =b\\m = -4\\Substitute -new-values-into-slope-intercept-form\\y = mx+c\\y = -4x+10`