Answer:
y = - 2x - 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 the slope m, using the slope formula
• m = [tex]\frac{y_{2}-x_{1} }{x_{2}-x_{1} }[/tex]
let (x₁, y₁ ) = (- 3, 5 ) and (x₂, y₂ ) = (0, - 1 )
substitute these values into the formula for m
m = [tex]\frac{-1-5}{0-(-3)}[/tex] = [tex]\frac{-6}{0+3}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2
The line crosses the y- axis at (0, - 1 ) , then c = - 1
y = - 2x - 1 ← equation of line