Answer:
y = - 6x + 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 ) = (1, - 5) and (x₂, y₂ ) = (3, - 17)
m = [tex]\frac{-17+5}{3-1}[/tex] = [tex]\frac{-12}{2}[/tex] = - 6, thus
y = - 6x + c ← is the partial equation of the line
To find c substitute either of the 2 points into the partial equation
Using (1, - 5), then
- 5 = - 6 + c ⇒ c = - 5 + 6 = 1
y = - 6x + 1 ← equation of line
