Answer:
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 )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (5, 4) and (x₂, y₂ ) = (- 4, - 5)
m = [tex]\frac{-5-4}{-4-5}[/tex] = [tex]\frac{-9}{-9}[/tex] = 1, thus
y = x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (5, 4), then
4 = 5 + c ⇒ c = 4 - 5 = - 1
y = x - 1 ← equation in slope- intercept form
