Question

10:Pretest
CR Algebra 1 A (GP) 24-25 / 10:Linear Equations and Graphs
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5.
Find the slope and y-intercept of the line.

6x + 2y = –88

Answer 1

To find the slope and y-intercept of the line given by the equation \(6x + 2y = -88\), we can rewrite the equation in slope-intercept form, which is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.

1. Start with the equation:
\[
6x + 2y = -88
\]

2. Subtract \(6x\) from both sides:
\[
2y = -6x - 88
\]

3. Now, divide every term by \(2\) to solve for \(y\):
\[
y = -3x - 44
\]

Now, we can identify the slope and y-intercept:

- The slope (\(m\)) is \(-3\).
- The y-intercept (\(b\)) is \(-44\).

So, the slope is \(-3\) and the y-intercept is \(-44\).