To find the x- and y-intercepts of the line given by the equation \(5x - 4y = 40\), we can systematically calculate each intercept.
Finding the x-intercept:
The x-intercept occurs where \(y = 0\). Substitute \(y = 0\) into the equation:
\[ 5x - 4(0) = 40 \] \[ 5x = 40 \] \[ x = \frac{40}{5} = 8 \]
So, the x-intercept is \((8, 0)\).
Finding the y-intercept:
The y-intercept occurs where \(x = 0\). Substitute \(x = 0\) into the equation:
\[ 5(0) - 4y = 40 \] \[ -4y = 40 \] \[ y = \frac{40}{-4} = -10 \]
So, the y-intercept is \((0, -10)\).
Summary of Intercepts:
- x-intercept: 8
- y-intercept: -10
Therefore, the answer is: x-intercept is 8; y-intercept is -10.