Final answer:
To find the x-intercept of the equation 8x+6y=16, set y to zero and solve for x. The solution is x=2, which means the x-intercept is 2.
Step-by-step explanation:
To find the x-intercept of the line given by the equation 8x+6y=16, you need to set y to 0 and solve for x. This location corresponds to the point where the line crosses the x-axis, and it is where the value of y is 0. When y=0, the line equation simplifies to 8x = 16.
Solving for x, we divide both sides of the equation by 8 to get x = 16/8, which simplifies to x = 2. This means that the x-intercept of the line is 2, which is the answer sought.