Answer:
y = - x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (4, - 3)
m = =
= -
, thus
y = - x + b ← is the partial equation
To find b substitute either of the 2 points into the partial equation
Using (- 2, 0 ), then
0 = 1 + b ⇒ b = 0 - 1 = - 1
y = - x - 1 ← in slope- intercept form