Question

What is the slope intercept of a line perpendicular to the line y=2x+3 with the point (-2,-4)

Answer 1

Answer:

y = - $\frac{1}{2}$ x - 5

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 = 2x + 3 is in this form with slope m = 2

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

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{2}$

y = - $\frac{1}{2}$ x + c ← is the partial equation

To find c substitute (- 2, - 4) into the partial equation

- 4 = 1 + c ⇒ c = - 4 - 1 = - 5

y = - $\frac{1}{2}$ x - 5 ← equation of perpendicular line