Question

Find the slope and y-intercept of the line.

12x + 2y = –60


12; –60








–6; –30

Answer 1

To find the slope and y-intercept of the line represented by the equation \(12x + 2y = -60\), we will first rewrite the equation in the slope-intercept form, which is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.

Starting with the equation:

\[12x + 2y = -60\]

We can solve for \(y\):

1. Subtract \(12x\) from both sides:
\[
2y = -12x - 60
\]

2. Divide every term by \(2\):
\[
y = -6x - 30
\]

Now, the equation is in the form \(y = mx + b\), where:

- \(m = -6\) (the slope)
- \(b = -30\) (the y-intercept)

So, the slope is \(-6\), and the y-intercept is \(-30\).

Thus, the answer is:

**Slope:** -6
**Y-intercept:** -30