Question

Determine the x- and the y-intercepts of these graphs. a) y = x-2​

Answer 1

y-intercept = (0, -2)

x-intercept = (2, 0)

Explanation:

The y-intercept is the value of y when x = 0. Therefore, Given the linear equation, y = x - 2:

Let x = 0:

y = 0 - 2

y = -2.

Therefore, the y-intercept of the linear equation, y = x - 2 is (0, -2).

The x-intercept is the value of x when y = 0.

Therefore, let y = 0:

y = x - 2

0 = x - 2

Isolate x by adding 2 to both sides of the equation:

0 + 2 = x - 2 + 2

2 = x

Therefore, the x-intercept is (2, 0).