The line 6x - 3y = 24 represents Shari's distance from home, y in blocks, on her run across town over time, x, in minutes. What is the x-intercept of this line? What does the x-intercept represent?

The x-intercept of the line is 4 minutes.

That 4 minutes gives the time when Shari will reach her home.

Step-by-step explanation:

The line 6x - 3y = 24 ... (1), represents Shari's distance from home, y in blocks, on her run across town over time, x, in minutes.

So, at y = 0, from the above equation (1), we get 6x - 0 = 24, ⇒ x = 4.

Therefore, the x-intercept of the line (1) is 4 minutes.

That 4 minutes gives the time when Shari will reach her home and the distance between her and her home is zero blocks. (Answer)