Question

1. The 12x -6y= 48 represents Mr. Joens' distance from school, y in blocks, on his motorcycle ride across town over time, x, in minutes. What is the x-intercept of this line? What does the x-intercept represent? Hint: to solve for x intercept, make y=0 to solve for y-intercept, make x=0

Answer 1

The given expression is-

$12x-6y=48$

To find the x-intercept, we have to make y = 0.

$\begin{gathered} 12x-6(0)=48 \\ 12x=48 \\ x=\frac{48}{12} \\ x=4 \end{gathered}$

Therefore, the x-intercept is (4,0).

To find the y-intercept, we have to make x = 0.

$\begin{gathered} 12(0)-6y=48 \\ -6y=48 \\ y=\frac{48}{-6} \\ y=-8 \end{gathered}$

Therefore, the y-intercept is (0, -8).