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question find the y - intercept of the line represented by the equation…

Question

question
find the y - intercept of the line represented by the equation below.
-4x + 4y = -20
answer attempt 1 out of 2
answer:
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Explanation:

Step1: Recall y-intercept definition

The y - intercept of a line is the value of \( y \) when \( x = 0 \). So we substitute \( x = 0 \) into the equation \(-4x + 4y=-20\).
Substituting \( x = 0 \), we get \(-4(0)+4y=-20\).

Step2: Solve for y

Simplify the left - hand side of the equation: \( 0 + 4y=-20 \), which is \( 4y=-20 \).
Then divide both sides of the equation by 4: \( y=\frac{-20}{4}=-5 \).

Answer:

\(-5\)