Question

identify the two points?
coordinate grid with x-axis from -10 to 10, y-axis from -10 to 10, two blue points: one at x=-7, y=4; one at x=2, y=4
○ (-7,4) and (2,4)
○ (4,2) and (4,-7)

Explanation:

Step1: Analyze the x - coordinate of the first point

For a point on the coordinate plane, the x - coordinate is the horizontal distance from the y - axis. Looking at the left - most blue point, it is 7 units to the left of the y - axis (since the x - axis values are negative on the left). So the x - coordinate is - 7. The y - coordinate is the vertical distance from the x - axis. This point is 4 units above the x - axis, so the y - coordinate is 4. So the first point is (-7, 4).

Step2: Analyze the x - coordinate of the second point

The right - most blue point is 2 units to the right of the y - axis, so the x - coordinate is 2. The y - coordinate is 4 units above the x - axis, so the y - coordinate is 4. So the second point is (2, 4).

Step3: Analyze the other option

For the option (4, 2) and (4, - 7), the x - coordinate of both points is 4, but looking at the graph, the points do not lie on x = 4. Also, their y - coordinates (2 and - 7) do not match the y - coordinate of the blue points (which is 4). So this option is incorrect.

Answer:

(-7,4) and (2,4)