Question

Through: (4,-1), perpendicular to y=x+2

Answer 1

Answer:

y = - x + 3

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 = x + 2 ← is in slope- intercept form

with slope m = 1

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

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

y = - x + c ← is the partial equation of the perpendicular line

To find c substitute (4, - 1) into the partial equation

- 1 = - 4 + c ⇒ c = - 1 + 4 = 3

y = - x + 3 ← equation of perpendicular line