Find the equation of the line that is perpendicular to y=-2/3x and contain the point (4,-8)

y = x - 14

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 ← is in this form

with slope m = -

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

= - = - = , hence

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

To find c substitute (4, - 8) into the partial equation

- 8 = 6 + c ⇒ c = - 8 - 6 = - 14, so

y = x - 14 ← equation of perpendicular line

but there’s no any figure there!