Question

What is the x-intercept of the line with the equation y = one-half x - 3?

1) -3
2) 6
3) -6
4) one-half

Answer 1

The x-intercept of the line y = ½x - 3 is found by setting y to 0 and solving for x, which results in an x-intercept of 6.

Step-by-step explanation:

The x-intercept of a line is the point where the line crosses the x-axis, which is when the value of y is 0. Given the equation y = ½x - 3, we can find the x-intercept by setting y to 0 and solving for x:

1. Set y equal to 0: 0 = ½x - 3.
2. Multiply both sides by 2 to eliminate the fraction: 0 = x - 6.
3. Add 6 to both sides of the equation: x = 6.

Therefore, the x-intercept of the line is 6, which corresponds to option 2).