Answer:
see explanation
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 ) = (0, - 5) and (x₂, y₂ ) = (5, 1)
m = [tex]\frac{1+5}{5-0}[/tex] = [tex]\frac{6}{5}[/tex]
note the line crosses the y- axis at (0, - 5) ⇒ c = - 5
y = [tex]\frac{6}{5}[/tex] x - 5 ← equation of line