Answer:
y = - 3x + 4
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 ) = (3, - 5) and (x₂, y₂ ) = (0, 4)
m = [tex]\frac{4-(-5)}{0-3}[/tex] = [tex]\frac{4+5}{-3}[/tex] = [tex]\frac{9}{-3}[/tex] = - 3
The line crosses the y- axis at (0, 4) ⇒ c = 4
y = - 3x + 4 ← equation of line
