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 (
).

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

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

Starting with the given equation:

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

First, we can isolate \( y \) by dividing the entire equation by -32 to solve for \( y \):

  1. Move \( 9 + 272x \) to the right side: \[ -32y = - (9 + 272x) \]

  2. This simplifies to: \[ -32y = -9 - 272x \]

  3. Now, divide every term by -32: \[ y = \frac{9}{32} + \frac{272}{32}x \] which simplifies to: \[ y = \frac{9}{32} - 8.5x \]

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

  • The slope \( m = -8.5 \)
  • The y-intercept \( b = \frac{9}{32} \)

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

Thus, the final answer is:

The slope is \(-8.5\). The y-intercept is \( (0, \frac{9}{32}) \).