Question

What is the equation of the

Answer 1

Answer:

y = $\frac{1}{3}$ x + 4

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 3x + 6 ← is in slope- intercept form

with slope m = - 3

given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-3}$ = $\frac{1}{3}$ , then

y = $\frac{1}{3}$ x + c ← is the partial equation of the perpendicular line

to find c substitute (3, 5 ) into the partial equation

5 = 1 + c ⇒ c = 5 - 1 = 4

y = $\frac{1}{3}$ x + 4 ← equation of perpendicular line