Question

Find the ordered pairs for the x- and y-intercepts of the equation 3x − 2y = 18 and select the appropriate option below. (5 points)

The x-intercept is (3, 0); the y-intercept is (0, –2).
The x-intercept is (6, 0); the y-intercept is (0, –9).
The x-intercept is (0, 6); the y-intercept is (–9, 0).
The x-intercept is (0, 3); the y-intercept is (–2, 0).

Answer 1

The correct answer is (second option):

The x-intercept is (6, 0); the y-intercept is (0, –9).

Explanation:

Intercepts of a real function

Given a function y=f(x), the x-intercepts of f are those values of x that make y=0. The y-intercepts are those values of y that make x=0.

Our function is:

3x - 2y = 18

To find the x-intercept(s), we set y=0:

3x - 2(0) = 18

3x = 18

Solving:

x = 18 / 3 =6

The x-intercept is the point (6,0)

Now for the y-intercept(s), we set x=0:

3(0) - 2y = 18

-2y = 18

Solving:

y = 18 / (-2) = -9

The y-intercept is the point (0,-9)

The correct answer is (second option):

The x-intercept is (6, 0); the y-intercept is (0, –9).