Question

Study the linear function. What are the x-intercept and y-intercept for this function? x-intercept (0,4);y-intercept (-2,0) x-intercept (0,-2);y-intercept: (4,0) x-intercept: (-2,0);y-intercept (0,4)

Answer 1

Let's solve this step-by-step.

The x-intercept is the point where the line crosses the x-axis. At this point, the y-coordinate is always zero.

Similarly, the y-intercept is the point where the line crosses the y-axis. At this point, the x-coordinate is always zero.

1. First, let's find the x-intercept. To find the x-intercept, we set y to 0 in the equation. Doing so, we locate the x-coordinate when y is 0. From the given options, we found that the x-intercept is at the point (0, 4).

2. Next, we find the y-intercept. To find the y-intercept, we set x to 0 in the equation. This gives us the y-coordinate when x is 0. From the given options, we found the y-intercept is at the point (-2, 0).

So, the x-intercept is (0, 4) and the y-intercept is (-2, 0). This means that the line crosses the x-axis at the point (0, 4) and crosses the y-axis at the point (-2, 0).