Question

61 what are the x-intercept and the y-intercept of the line? a) x-intercept: (10, 0) y-intercept: (0, 6) b) x-intercept: (6, 0) y-intercept: (0, 10) c) x-intercept: (10, 0) y-intercept: (0, -6) d) x-intercept: (6, 0) y-intercept: (0, -3)

Explanation:

Step1: Recall intercept definitions

x - intercept: point where line crosses x - axis (y = 0). y - intercept: point where line crosses y - axis (x = 0).

Step2: Analyze y - intercept from graph

The line crosses the y - axis at (0, 6) (since on y - axis, x = 0, and the y - coordinate is 6).

Step3: Analyze x - intercept from graph

The line crosses the x - axis at (10, 0) (since on x - axis, y = 0, and the x - coordinate is 10).

Step4: Match with options

Option A has x - intercept (10, 0) and y - intercept (0, 6), which matches our analysis.

Answer:

A) x - intercept: (10, 0) y - intercept: (0, 6)