Question

how to find the slope and y-intercept of 6x + 3y = -27

Answers

Answered by GPT-4o mini
To find the slope and y-intercept of the equation \(6x + 3y = -27\), you can first rewrite it in slope-intercept form, which is \(y = mx + b\). Here, \(m\) represents the slope and \(b\) represents the y-intercept.

1. Start with the original equation:
\[
6x + 3y = -27
\]

2. Solve for \(y\) by isolating it on one side of the equation:
- Subtract \(6x\) from both sides:
\[
3y = -6x - 27
\]

- Now, divide every term by \(3\) to solve for \(y\):
\[
y = -2x - 9
\]

Now the equation is in the slope-intercept form \(y = mx + b\), where:
- \(m = -2\) (the slope)
- \(b = -9\) (the y-intercept)

So, the **slope** is \(-2\) and the **y-intercept** is \(-9\).
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