A line is perpendicular to y=2/3x+2/3 and intersects the point (-2,4). What is the equation of this perpendicular line?

y = - x + 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 = x + ← is in slope- intercept form

with slope m =

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

= - = - = -

Using the point- slope form

with m = - and (x₁, y₁ ) = (- 2, 4) , then

y - 4 = - (x - (- 2) ) , that is

y - 4 = - (x + 2) ← distribute

y - 4 = - x - 3 ( add 4 to both sides )

y = - x + 1 ← in slope- intercept form

where is the diagram? shown below where? ?

step-by-step explanation: