Question

Find the y-intercept of the line represented by the equation below.
20, equals, minus, 4, y, minus, 2, x
20=−4y−2x
Answer
Attempt 1 out of 3

Answer 1

To find the y-intercept of the equation \(20 = -4y - 2x\), we first need to rearrange it into the slope-intercept form \(y = mx + b\), where \(b\) is the y-intercept.

1. Start with the given equation:
\[
20 = -4y - 2x
\]

2. Rearrange the equation to isolate \(y\):
- Add \(2x\) to both sides:
\[
20 + 2x = -4y
\]

- Divide all terms by \(-4\) to solve for \(y\):
\[
y = -\frac{2}{4}x + \frac{20}{-4}
\]
\[
y = -\frac{1}{2}x - 5
\]

Now, in the equation \(y = -\frac{1}{2}x - 5\), the y-intercept (\(b\)) is \(-5\).

**Therefore, the y-intercept of the line is \(-5\).**