Question

question 2(multiple choice worth 2 points)
(intercepts and rate of change mc)
compare the x-intercepts of the following functions.
function a: $6x - 2y = 18$
function b: $5x - 3y = 15$

• the x-intercept of function a has a larger value than the x-intercept of function b.
• the x-intercept of function b has a larger value than the x-intercept of function a
• the values of the two x-intercepts are equal.
• at least one function does not have an x-intercept

Explanation:

Step1: Find x-intercept of Function A

Set $y=0$ in $6x-2y=18$:
$6x - 2(0) = 18$
$6x = 18$
$x = \frac{18}{6} = 3$

Step2: Find x-intercept of Function B

Set $y=0$ in $5x-3y=15$:
$5x - 3(0) = 15$
$5x = 15$
$x = \frac{15}{5} = 3$

Step3: Compare the two x-intercepts

Both x-intercepts equal 3.

Answer:

The values of the two x-intercepts are equal.