Answer:
y = -
x - 7
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 =
![(y_(2)-y_(1) )/(x_(2)-x_(1) )](https://img.qammunity.org/2023/formulas/mathematics/college/jkzrkt8zi557egkc0ias6wietjfal5swo6.png)
with (x₁, y₁ ) = (- 4, 0) and (x₂, y₂ ) = (0, - 7)
m =
=
= -
![(7)/(4)](https://img.qammunity.org/2023/formulas/mathematics/high-school/olqj7hmdfu9c6qkwfny1jew6wm5pyou82r.png)
The line crosses the y- axis at (0, - 7 ) ⇒ c = - 7
y = -
x - 7 ← equation of line