Question

2.
Find the x- and y-intercept of the line.

5x – 4y = 40

Answer 1

To find the x- and y-intercepts of the line represented by the equation \(5x - 4y = 40\), we can set up the following calculations:

1. **Finding the x-intercept**:
The x-intercept occurs when \(y = 0\).

Substitute \(y = 0\) into the equation:
\[
5x - 4(0) = 40 \implies 5x = 40 \implies x = \frac{40}{5} = 8
\]
Thus, the x-intercept is \((8, 0)\).

2. **Finding the y-intercept**:
The y-intercept occurs when \(x = 0\).

Substitute \(x = 0\) into the equation:
\[
5(0) - 4y = 40 \implies -4y = 40 \implies y = \frac{40}{-4} = -10
\]
Thus, the y-intercept is \((0, -10)\).

### Summary:
- The x-intercept is \((8, 0)\).
- The y-intercept is \((0, -10)\).