Question

What are the x- and y-intercepts of the graph of 9x − 7y = −63?

x-intercept




y-intercept

Answer 1

To find the x- and y-intercepts of the equation \(9x - 7y = -63\), we can use the following method:

### Finding the x-intercept
The x-intercept occurs when \(y = 0\). We can substitute \(y = 0\) into the equation:

\[
9x - 7(0) = -63
\]
\[
9x = -63
\]
\[
x = -7
\]

So, the x-intercept is \((-7, 0)\).

### Finding the y-intercept
The y-intercept occurs when \(x = 0\). We can substitute \(x = 0\) into the equation:

\[
9(0) - 7y = -63
\]
\[
-7y = -63
\]
\[
y = 9
\]

So, the y-intercept is \((0, 9)\).

### Summary
- **x-intercept**: \((-7, 0)\)
- **y-intercept**: \((0, 9)\)