The x-intercept of a graph is the point where the line crosses the x-axis. This occurs when the value of y is zero. To find the x-intercept for the equation 4x + 5y = 40, you can follow these steps:
- Substitute y = 0 into the equation:
4x + 5(0) = 40
This simplifies to:
4x = 40
- Now, solve for x:
x = 40 / 4
This simplifies to:
x = 10
Thus, the x-intercept is at the point (10, 0).
In conclusion, the value of the x-intercept for the graph of the equation 4x + 5y = 40 is 10.