Question

find the y-intercept of the line represented by the equation below.
$-5x - 4y = 8$

Explanation:

Step1: Recall y-intercept definition

The y-intercept is the point where \( x = 0 \) on the line. So we substitute \( x = 0 \) into the equation.
Substitute \( x = 0 \) into \(-5x - 4y = 8\), we get \(-5(0)-4y = 8\).

Step2: Solve for y

Simplify the left - hand side: \( 0 - 4y=8\), which is \(-4y = 8\).
Divide both sides by \(-4\): \( y=\frac{8}{-4}=- 2\).

Answer:

The y - intercept is \(-2\) (or the point \((0,-2)\)).