Question

Find the x-intercept and y-intercept of the linear equation: -3x + 11y = 66.

a) x-intercept (22, 0)
b) y-intercept (0, 6)
c) x-intercept (0, 6)
d) y-intercept (22, 0)

Answer 1

The x-intercept is (-22, 0) and the y-intercept is (0, 6).

Step-by-step explanation:

The x-intercept and y-intercept of a linear equation can be found by setting either x or y equal to zero and solving for the other variable. In this case, we'll find the x-intercept by setting y equal to zero:

-3x + 11(0) = 66

-3x = 66

x = -22

So the x-intercept is (-22, 0).

To find the y-intercept, we'll set x equal to zero:

-3(0) + 11y = 66

11y = 66

y = 6

Therefore, the y-intercept is (0, 6).