Answer:
She omitted the y- intercept
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)
To calculate m use the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 3, - 7.5) and (x₂, y₂ ) = (2, - 5)
m = [tex]\frac{-5+7.5}{2+3}[/tex] = [tex]\frac{2.5}{5}[/tex] = 0.5, thus
y = 0.5x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, - 5), then
- 5 = 1 + c ⇒ c = - 5- 1 = - 6
y = 0.5x - 6 ← equation if line
