Question

What is the slope and the y-intercept of the equation 9+272x=−32y. Write the y
-intercept as an ordered pair.(1 point)
The slope is
. The y-intercept is (
).
Remaining Attempts : 3

Answer 1

To find the slope and the y-intercept of the equation \( 9 + 272x = -32y \), we first need to rearrange it into the slope-intercept form, which is \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.

Starting with the equation:

\[
9 + 272x = -32y
\]

We can isolate \( y \) by following these steps:

1. Subtract \( 9 \) and then divide by \( -32 \):

\[
-32y = 272x + 9
\]

2. Divide everything by \( -32 \):

\[
y = -\frac{272}{32}x - \frac{9}{32}
\]

3. Simplify the coefficients:

The slope \( m \):

\[
-\frac{272}{32} = -\frac{17}{2}
\]

The y-intercept \( b \):

\[
-\frac{9}{32}
\]

Thus, the y-intercept as an ordered pair is \( (0, -\frac{9}{32}) \).

Now, summarizing our findings:

- The slope is \( -\frac{17}{2} \).
- The y-intercept is \( (0, -\frac{9}{32}) \).

So the answers are:

The slope is \( -\frac{17}{2} \). The y-intercept is \( (0, -\frac{9}{32}) \).