(06.02 mc) the equation of line cd is y=3x-3. Write an equation of a line perpendicular to line cd in slope intercept form that contains points 3,1
Accepted Solution
A:
Answer:y = - [tex]\frac{1}{3}[/tex] x + 2Step-by-step explanation:The equation of a line in slope- intercept form isy = mx + c ( m is the slope and c the y- intercept )y = 3x - 3 ← is in slope- intercept formwith slope m = 3Given a line with slope m then the slope of a line perpendicular to it is[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{3}[/tex], hencey = - [tex]\frac{1}{3}[/tex] x + c ← is the partial equation of the perpendicular lineTo find c substitute (3, 1) into the partial equation1 = - 1 + c ⇒ c = 1 + 1 = 2y = - [tex]\frac{1}{3}[/tex] x + 2 ← equation of perpendicular line