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Intermediate Geometry : Intermediate Geometry

Study concepts, example questions & explanations for Intermediate Geometry

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Example Questions

Example Question #1541 : Intermediate Geometry

Find the x-intercept of the line -9x+21y=27 .

Possible Answers:

(-6, 0)

(-1, 0)

(12, 0)

(-3, 0)

Correct answer:

(-3, 0)

Explanation:

Recall that an x-intercept occurs when the line crosses the x-axis. Thus, the y-coordinate of the x-intercept must be .

Plug in for the y-value.

-9x+21y=27

-9x+21(0)=27

-9x=27

x=-3

The x-intercept is located at (-3, 0) .

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Example Question #1542 : Intermediate Geometry

Find the x-intercept of the line 4x-12y=28 .

Possible Answers:

(10, 0)

(4, 0)

(7, 0)

(14, 0)

Correct answer:

(7, 0)

Explanation:

Recall that an x-intercept occurs when the line crosses the x-axis. Thus, the y-coordinate of the x-intercept must be .

Plug in for the y-value.

4x-12y=28

4x-12(0)=28

4x=28

x=7

The x-intercept is located at (7, 0) .

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Example Question #31 : How To Find X Or Y Intercept

Find the x-intercept for the line y=12x-24 .

Possible Answers:

(-2, 0)

(4, 0)

(1, 0)

(2, 0)

Correct answer:

(2, 0)

Explanation:

Recall that an x-intercept occurs when the line crosses the x-axis. Thus, the y-coordinate of the x-intercept must be .

Plug in for the y-value.

y=12x-24

12x-24=0

12x=24

x=2

The x-intercept is located at (2, 0) .

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Example Question #1544 : Intermediate Geometry

Find the x-intercept of the line -x+10y=22 .

Possible Answers:

(24, 0)

(13, 0)

(-11, 0)

(-22, 0)

Correct answer:

(-22, 0)

Explanation:

Recall that an x-intercept occurs when the line crosses the x-axis. Thus, the y-coordinate of the x-intercept must be .

Plug in for the y-value.

-x+10y=22

-x+10(0)=22

-x=22

x=-22

The x-intercept is located at (-22, 0) .

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Example Question #31 : How To Find X Or Y Intercept

Find the x-intercept of the line -2x+10y=122 .

Possible Answers:

(-59, 0)

(-62, 0)

(-60, 0)

(-61, 0)

Correct answer:

(-61, 0)

Explanation:

Recall that an x-intercept occurs when the line crosses the x-axis. Thus, the y-coordinate of the x-intercept must be .

Plug in for the y-value.

-2x+10y=122

-2x+10(0)=122

-2x=122

x=-61

The x-intercept is located at (-61, 0) .

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Example Question #31 : How To Find X Or Y Intercept

Find the y-intercept of the line 16x-20y=200 .

Possible Answers:

(0, 5)

(0, -20)

(0, 15)

(0, -10)

Correct answer:

(0, -10)

Explanation:

Recall that at the y-intercept, the line crosses the y-axis. This means that at the y-intercept, the value of the x-coordinate is .

Plug in for into the equation to find the y-intercept.

16x-20y=200

16(0)-20y=200

-20y=200

y=-10

The y-intercept for this line is (0, -10) .

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Example Question #32 : How To Find X Or Y Intercept

Find the y-intercept for the line 19x+12y=36 .

Possible Answers:

(0, 3)

(0, 5)

(0, 2)

(0, 6)

Correct answer:

(0, 3)

Explanation:

Recall that at the y-intercept, the line crosses the y-axis. This means that at the y-intercept, the value of the x-coordinate is .

Plug in for into the equation to find the y-intercept.

19x+12y=36

19(0)+12y=36

12y=36

y=3

The y-intercept for this line is (0, 3) .

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Example Question #32 : How To Find X Or Y Intercept

Find the y-intercept of the line $4x-\frac{1}{3}y=-12$ .

Possible Answers:

(0, -4)

(0, 8)

(0, 36)

(0, -24)

Correct answer:

(0, 36)

Explanation:

Recall that at the y-intercept, the line crosses the y-axis. This means that at the y-intercept, the value of the x-coordinate is .

Plug in for into the equation to find the y-intercept.

$4x-\frac{1}{3}y=-12$

$4(0)-\frac{1}{3}y=-12$

$-\frac{1}{3}y=-12$

y=36

The y-intercept for this line is (0, 36) .

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Example Question #41 : How To Find X Or Y Intercept

Find the y-intercept of the line $\frac{1}{2}x+9y=18$ .

Possible Answers:

(0, 4)

(0, 2)

(0, -2)

(0, 1)

Correct answer:

(0, 2)

Explanation:

Recall that at the y-intercept, the line crosses the y-axis. This means that at the y-intercept, the value of the x-coordinate is .

Plug in for into the equation to find the y-intercept.

$\frac{1}{2}x+9y=18$

$\frac{1}{2}(0)+9y=18$

9y=18

y=2

The y-intercept for this line is (0, 2) .

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Example Question #42 : How To Find X Or Y Intercept

Find the y-intercept of the line -2x+3y=18 .

Possible Answers:

(0, 8)

(0, 10)

(0, 6)

(0, 4)

Correct answer:

(0, 6)

Explanation:

Recall that at the y-intercept, the line crosses the y-axis. This means that at the y-intercept, the value of the x-coordinate is .

Plug in for into the equation to find the y-intercept.

-2x+3y=18

-2(0)+3y=18

3y=18

y=6

The y-intercept for this line is (0, 6) .

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Intermediate Geometry : Intermediate Geometry

Study concepts, example questions & explanations for Intermediate Geometry

All Intermediate Geometry Resources

Example Questions

Example Question #1541 : Intermediate Geometry

Example Question #1542 : Intermediate Geometry

Example Question #31 : How To Find X Or Y Intercept

Example Question #1544 : Intermediate Geometry

Example Question #31 : How To Find X Or Y Intercept

Example Question #31 : How To Find X Or Y Intercept

Example Question #32 : How To Find X Or Y Intercept

Example Question #32 : How To Find X Or Y Intercept

Example Question #41 : How To Find X Or Y Intercept

Example Question #42 : How To Find X Or Y Intercept

All Intermediate Geometry Resources

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