What are the x- and y-intercepts of the line?. 2x – 3y = 12. A. x-intercept –6, y-intercept 4. B. x-intercept –4, y-intercept 6.

Question

shusha [124]

3 years ago

6

What are the x- and y-intercepts of the line?. 2x – 3y = 12. A. x-intercept –6, y-intercept 4. B. x-intercept –4, y-intercept 6.

C. x-intercept 4, y-intercept –6. D. x-intercept 6, y-intercept –4.

Mathematics

2 answers:

tigry1 [53] · Answer 1 · 2022-05-06T11:06:29+03:00

tigry1 [53]3 years ago

7 0

D. x-intercept 6, y-intercept –4.

Mnenie [13.5K] · Answer 2 · 2022-05-06T12:39:03+03:00

We are given the equation of the line:

2x – 3y = 12

The intercepts of the line represents the point when one of the variable is set to zero or it is the point where the line intersects to the x and y axis.

To find for the x-intercept, we set y to 0:

2x – 3(0) = 12
x = 6

To find for the y-intercept, we set x to 0:
2(0) – 3y = 12
y = - 4

Therefore, the correct answer is option D.