Answer:
y = - 2x + 7
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 = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 7 ) and (x₂, y₂ ) = (5, - 3 )
m = [tex]\frac{-3-7}{5-0}[/tex] = [tex]\frac{-10}{5}[/tex] = - 2
The line crosses the y- axis at (0, 7 ) ⇒ c = 7
y = - 2x + 7 ← equation of line
