Question

question
find the y-intercept of the line represented by the equation below.
-4x + 4y = -20

Explanation:

Step1: Recall y-intercept definition

The y - intercept of a line is the point where the line crosses the y - axis. At this point, the value of \(x = 0\). So we substitute \(x = 0\) into the given equation.
Given the equation \(-4x + 4y=-20\), substitute \(x = 0\):
\(-4(0)+4y=-20\)

Step2: Solve for y

Simplify the left - hand side of the equation. Since \(-4\times0 = 0\), the equation becomes:
\(0 + 4y=-20\)
Which is \(4y=-20\).
To solve for \(y\), divide both sides of the equation by 4:
\(y=\frac{-20}{4}=-5\)

Answer:

The y - intercept is \(-5\) (or the point \((0, - 5)\))