How to find the equation of this line?

y = - x -

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 )

Calculate m using the slope formula

m =

with (x₁, y₁ ) = (- 4, 2 ) and (x₂, y₂ ) = (3, - 4) ← 2 points on the line

m = = - , thus

y = - x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 4, 2 ), then

2 = + c ⇒ c = 2 - = -

y = - x - ← equation of line

step-by-step explanation: