Question

Write the equation Of a line in slope intercept form that passes through (-2,5) and is perpendicular to y=1/3x-2

Answer 1

Answer:

y = - 3x - 1

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 = $\frac{1}{3}$ x - 2 ← is in slope- intercept form

with slope m = $\frac{1}{3}$

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

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

y = - 3x + c ← is the partial equation

To find c substitute (- 2, 5) into the partial equation

5 = 6 + c ⇒ c = 5 - 6 = - 1

y = - 3x - 1 ← equation of perpendicular line