The x-intercept of a graph is the point where the line crosses the x-axis. This happens when the y-coordinate is 0.
Therefore, to find the x-intercept of the graph of y = 2x + 7, we need to solve the equation for x when y = 0.
Here's how we can do it:
Set y to 0:
0 = 2x + 7
Subtract 7 from both sides:
-7 = 2x
Divide both sides by 2:
x = -7/2
Therefore, the x-intercept of the graph of y = 2x + 7 is at (-7/2, 0). This means the line crosses the x-axis at a point two and a half units to the left of the origin.