Final answer:
To find the x-intercept of the line 8x - 6y = 16, we set y to 0 and solve for x. The x-intercept is where the line crosses the x-axis and is found to be x = 2, which is the solution to the equation when y is set to zero.
Step-by-step explanation:
To find the x-intercept of the line 8x - 6y = 16, we need to set y to zero and solve for x. This is because the x-intercept is the point where the graph of the line crosses the x-axis, which is where the value of y is zero.
Starting with the equation:
8x - 6(0) = 16
8x = 16
Now we divide both sides by 8 to isolate x:
x = 16 / 8
x = 2
Therefore, the x-intercept of the line is 2, which is an integer value.