Question

find the coordinates of the y - intercept and the coordinates of the x - intercept.
(0, 0), (2, 4)
(0, 2), (4, 0)
(4, 2), (0, 0)
(0, 4), (2, 0)

Explanation:

Step1: Recall intercept definitions

The y - intercept is where the line crosses the y - axis (x = 0), and the x - intercept is where the line crosses the x - axis (y = 0).

Step2: Analyze y - intercept

When x = 0, from the graph or by substituting into the line's equation (if known), we find the y - value. For a line, when x = 0, we look at the point on the y - axis. Here, the y - intercept is at the point (0, 4).

Step3: Analyze x - intercept

When y = 0, we find the x - value. The line crosses the x - axis at x = 2, so the x - intercept is (2, 0).

Answer:

(0, 4), (2, 0)