Question

Without sketching the graph, find the x intercepts and y-intercepts of the graph of the equation 2x+3y=12 What isjare the x-intercept(s)? Select the correct choice below and, il necessary, il in the answer box within your choice ? A. The x intercept(s) isare? O B. There are no x-intercepts (Type an integer or a simplifted fraction Use a comma to separate answers as needed ) Click to select and enter your answeris) and then click Check Answer Clear All 0

Answer 1

x-intercept: (6,0)

y-intercept: (0,4)

Explanation:

The x-intercepts lay on the x-axis and therefore their y-coordinate is 0.

To find the x-intercept, you set y to 0 and solve for x.

2x+3y=12

Set y=0.

2x+3(0)=12

2x+0 =12

2x =12

Divide both sides by 2:

x =12/2

x =6

The x-intercept is (x,y)=(6,0).

The y-intercepts lay on the y-axis and therefore their x-coordinate is 0.

To find the y-intercept, you set x to 0 solve for y.

2x+3y=12

2(0)+3y=12

0+3y =12

3y =12

Divide both sides by 3:

y =12/3

y =4

The y-intercept is (0,4).