Final answer:
The x-intercept of the equation 4x - y = 8 is found by setting y to zero and solving for x, which gives us the x-intercept as the ordered pair (2, 0).
Step-by-step explanation:
To find the x-intercept of the graph of the equation 4x - y = 8, we set y to zero since the x-intercept is the point where the graph crosses the x-axis and at this point, the value of y is zero.
Substituting y = 0 into the equation gives us 4x - 0 = 8. Solving for x we get x = 8 / 4, which simplifies to x = 2. Therefore, the x-intercept is (2, 0).
The ordered pair for the x-intercept is an important concept as it shows where the line intersects the x-axis and is a key detail in understanding graphing linear equations. The x-intercept, along with the y-intercept and slope, help define the unique position and direction of the line on a Cartesian plane.