Question

Without graphing, where is the x-intercept of y = 1/2 - 4

Answer 1

The x-intercept of the line y = 1/2x - 4 is 8. If your teacher asks for the coordinate, the answer is (8, 0).

Explanation:

The question asks us to find the x-intercept. We are given an equation in slope-intercept form. I am assuming that the equation we are given is:

`y = 1/2x -4`

In order to find the x-intercept, we need to set y to zero. Think of it this way: x and y are coordinates. We want to find the x-intercept. So, where the line intercepts the x-axis. This means our coordinate should be (x, 0). We need to find x, so we set y to zero. Here is our equation:

`0 = 1/2x -4 \\4 = 1/2x\\8 = x\\x = 8`

We already know that our coordinate should be (x, 0). This means that our coordinate is (8, 0).

The x-intercept of the line y = 1/2x - 4 is 8. Your teacher might want the coordinate, so you can say (8, 0).