Question

What is the equation of the line described below written in slope-intercept form?

Answer 1

Slope-intercept form: y = mx + c

First, from the given equation, we have slope m1 = 1. Then, we can find the slope for the perpendicular equation
$m1 \times m2 = - 1 \\ 1 \times m2 = - 1 \\ m2 = - 1$
Then, we need to find the y-intercept
$y = - x + c \\ 2 = - 2 + c \\ c = 2 + 2 \\ c = 4$
So, the perpendicular equation is:
$y = - x + 4$

Answer 2

the line passing through point (2, 2) and perpendicular to the line whose equation is y = x

A. y = x - 4

B.y = x + 4 \

C. y = -x + 4

Answer:

C: y = -x + 4