To find the x-intercept of the line given by the equation 2y + 5 = x, we need to determine the point where the line crosses the x-axis. The x-intercept occurs when y is equal to 0.
We start by substituting 0 for y in the equation:
2(0) + 5 = x
This simplifies to:
5 = x
Thus, the x-intercept is (5, 0).
In summary, the x-intercept of the line represented by the equation 2y + 5 = x is the point where the value of x is 5 and y is 0. This means that on the graph, the line crosses the x-axis at the coordinates (5, 0).