Question

15.
Find the x- and y-intercept of the line.

5x – 4y = 40

Answer 1

To find the x- and y-intercepts of the line given by the equation \(5x - 4y = 40\), we can follow these steps:

### X-Intercept
The x-intercept occurs when \(y = 0\). We can find it by substituting \(y = 0\) into the equation:

\[
5x - 4(0) = 40
\]

This simplifies to:

\[
5x = 40
\]

Now, divide both sides by 5:

\[
x = 8
\]

So, the x-intercept is \((8, 0)\).

### Y-Intercept
The y-intercept occurs when \(x = 0\). We can find it by substituting \(x = 0\) into the equation:

\[
5(0) - 4y = 40
\]

This simplifies to:

\[
-4y = 40
\]

Now, divide both sides by -4:

\[
y = -10
\]

So, the y-intercept is \((0, -10)\).

### Summary
- X-Intercept: \((8, 0)\)
- Y-Intercept: \((0, -10)\)