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