Complete this assessment to review what you've learned. It will not count toward your grade.

4 of 5
The slope is . The -intercept is ( ).
Remaining Attempts : 1 View previous attempt
What is the slope and the y-intercept of the equation 9 + x = − y. Write the -intercept as an ordered pair. (1 point) 27
2

1 answer

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

Starting with the equation:

\[ 9 + x = -y \]

We can rearrange it to isolate \(y\):

\[ -y = x + 9 \]

Now, multiply both sides by \(-1\):

\[ y = -x - 9 \]

From this equation, we can identify:

  • The slope (m) is \(-1\).
  • The y-intercept (b) is \(-9\).

The y-intercept in ordered pair form is \((0, -9)\).

Thus, the slope is \(-1\) and the y-intercept is \((0, -9)\).