Final answer:
The x-intercept of y=4x-24 is (6,0) and the y-intercept is (0,-24). The x-intercept of 2x-10y=-20 is (-10,0) and the y-intercept is (0,2).
Step-by-step explanation:
The x-intercept of a linear equation is the point at which the line crosses the x-axis. It is found by setting y=0 in the equation and solving for x. In the equation y=4x-24, when y=0, we have 0=4x-24. Solving for x, we get x=6, so the x-intercept is (6,0).
The y-intercept is the point at which the line crosses the y-axis. It is found by setting x=0 in the equation and solving for y. In the equation y=4x-24, when x=0, we have y=-24, so the y-intercept is (0,-24).
Similarly, for the equation 2x-10y=-20, we can rearrange it to y=(2/10)x+2, which simplifies to y=(1/5)x+2. The y-intercept is (0,2) and the x-intercept is found by setting y=0, which gives us 0=(1/5)x+2. Solving for x, we get x=-10, so the x-intercept is (-10,0).