Question

Use the space provided to find the x and y-intercepts.



5y - 3x = 20

Answer 1

To find the x and y-intercepts of the equation \(5y - 3x = 20\), we can follow these steps:

### Finding the y-intercept:
To find the y-intercept, we set \(x = 0\) and solve for \(y\):

\[
5y - 3(0) = 20
\]
\[
5y = 20
\]
\[
y = \frac{20}{5} = 4
\]

So, the y-intercept is \( (0, 4) \).

### Finding the x-intercept:
To find the x-intercept, we set \(y = 0\) and solve for \(x\):

\[
5(0) - 3x = 20
\]
\[
-3x = 20
\]
\[
x = \frac{20}{-3} = -\frac{20}{3}
\]

So, the x-intercept is \( \left(-\frac{20}{3}, 0\right) \).

### Summary:
- **y-intercept**: \( (0, 4) \)
- **x-intercept**: \( \left(-\frac{20}{3}, 0\right) \)