Answer:
y = - [tex]\frac{7}{4}[/tex] x - 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 ) = (- 4, 0) and (x₂, y₂ ) = (0, - 7)
m = [tex]\frac{-7-0}{0-(-4)}[/tex] = [tex]\frac{-7}{0+4}[/tex] = - [tex]\frac{7}{4}[/tex]
The line crosses the y- axis at (0, - 7 ) ⇒ c = - 7
y = - [tex]\frac{7}{4}[/tex] x - 7 ← equation of line
