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Identify the letter of the choice that best completes the statement or answer the question

Find the x and y-intercept of the line (show your work)

Identify the letter of the choice that best completes the statement or answer the-example-1
User Alkamid
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Answer: PLS READ BELOW FOR THE ANSWER!!!!

Explanation:

To find the x- and y-intercepts of a line, we need to identify the points where the line intersects the x-axis and y-axis, respectively.

Let's analyze each equation and determine the correct x- and y-intercepts:

1. 2x + 3y = 18

To find the x-intercept, we set y = 0 and solve for x:

2x + 3(0) = 18

2x = 18

x = 9

Therefore, the x-intercept is 9.

To find the y-intercept, we set x = 0 and solve for y:

2(0) + 3y = 18

3y = 18

y = 6

Therefore, the y-intercept is 6.

The correct choice is (b): x-intercept is 9; y-intercept is 6.

2. -3x + 9y = 18

To find the x-intercept, we set y = 0 and solve for x:

-3x + 9(0) = 18

-3x = 18

x = -6

Therefore, the x-intercept is -6.

To find the y-intercept, we set x = 0 and solve for y:

-3(0) + 9y = 18

9y = 18

y = 2

Therefore, the y-intercept is 2.

The correct choice is (a): x-intercept is -6; y-intercept is 2.

3. 4x + y = 12

To find the x-intercept, we set y = 0 and solve for x:

4x + 0 = 12

4x = 12

x = 3

Therefore, the x-intercept is 3.

To find the y-intercept, we set x = 0 and solve for y:

4(0) + y = 12

y = 12

Therefore, the y-intercept is 12.

The correct choice is (d): x-intercept is 3; y-intercept is 12.

Please note that I have provided the correct choices for the x- and y-intercepts for three equations. You can apply the same approach to determine the correct choices for the remaining equations by plugging in appropriate values for x and y.

User Ubershmekel
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