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Intermediate Geometry : x and y Intercept

Study concepts, example questions & explanations for Intermediate Geometry

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Example Questions

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Example Question #41 : X And Y Intercept

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

Possible Answers:

(0, -2)

(0, 2)

(0, 1)

(0, 4)

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 : X And Y Intercept

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

Possible Answers:

(0, 10)

(0, 8)

(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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Example Question #43 : X And Y Intercept

Find the y-intercept of the line $2x+\frac{2}{3}y=6$ .

Possible Answers:

(0, 12)

(0, 15)

(0, 9)

(0, 6)

Correct answer:

(0, 9)

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.

$2x+\frac{2}{3}y=6$

$2(0)+\frac{2}{3}y=6$

$\frac{2}{3}y=6$

y=9

The y-intercept for this line is (0, 9) .

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Example Question #44 : X And Y Intercept

Find the y-intercept for the line $x-\frac{3}{2}y=12$ .

Possible Answers:

(0, -8)

(0, -6)

(0, 10)

(0, -9)

Correct answer:

(0, -8)

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.

$x-\frac{3}{2}y=12$

$0-\frac{3}{2}y=12$

$-\frac{3}{2}y=12$

y=-8

The y-intercept for this line is (0, -8) .

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Example Question #45 : X And Y Intercept

Find the y-intercept of the line 7x+8y=-64 .

Possible Answers:

(0, -4)

(0, 12)

(0, -8)

(0, -12)

Correct answer:

(0, -8)

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.

7x+8y=-64

7(0)+8y=-64

8y=-64

y=-8

The y-intercept for this line is (0, -8) .

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Example Question #46 : X And Y Intercept

Find the x-intercept of the line 12x-8y=12 .

Possible Answers:

(-1, 0)

(1, 0)

$(\frac{3}{2}, 0)$

$\left(\frac{3}{4}, 0\right)$

Correct answer:

(1, 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.

12x-8y=12

12x-8(0)=12

12x=12

x=1

The x-intercept is located at (1, 0) .

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Example Question #47 : X And Y Intercept

Find the x-intercept of the line $-\frac{1}{4}x-\frac{1}{5}y=\frac{1}{16}$ .

Possible Answers:

(-1, 0)

$\left(-\frac{1}{4}, 0\right)$

$\left(-\frac{1}{12},0\right)$

$\left(-\frac{1}{8}, 0\right)$

Correct answer:

$\left(-\frac{1}{4}, 0\right)$

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.

$-\frac{1}{4}x-\frac{1}{5}y=\frac{1}{16}$

$-\frac{1}{4}x-\frac{1}{5}(0)=\frac{1}{16}$

$-\frac{1}{4}x=\frac{1}{16}$

$x=-\frac{1}{4}$

The x-intercept is located at $\left(-\frac{1}{4}, 0\right)$ .

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Example Question #48 : X And Y Intercept

Find the x-intercept of the line -12x+3y=2 .

Possible Answers:

(-6, 0)

$\left(-\frac{1}{6}, 0\right)$

$\left(\frac{1}{4}, 0\right)$

$\left(-\frac{1}{3}, 0\right)$

Correct answer:

$\left(-\frac{1}{6}, 0\right)$

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.

-12x+3y=2

-12x+3(0)=2

-12x=2

$x=-\frac{1}{6}$

The x-intercept is located at $\left(-\frac{1}{6}, 0\right)$ .

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Example Question #49 : X And Y Intercept

Find the x-intercept of the line 16x+20y=4 .

Possible Answers:

$\left(\frac{1}{2}, 0\right)$

$\left(\frac{1}{8}, 0\right)$

$\left(\frac{1}{4}, 0\right)$

$\left(\frac{1}{12}, 0\right)$

Correct answer:

$\left(\frac{1}{4}, 0\right)$

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.

16x+20y=4

16x+20(0)=4

16x=4

$x=\frac{1}{4}$

The x-intercept is located at $\left(\frac{1}{4}, 0\right)$ .

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Example Question #50 : X And Y Intercept

Find the x-intercept of the line 15x-3y=12 .

Possible Answers:

$\left(\frac{3}{5}, 0\right)$

$\left(\frac{2}{3}, 0\right)$

$\left(\frac{4}{5}, 0\right)$

$\left(\frac{3}{4}, 0\right)$

Correct answer:

$\left(\frac{4}{5}, 0\right)$

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.

15x-3y=12

15x-3(0)=12

15x=12

$x=\frac{4}{5}$

The x-intercept is located at $\left(\frac{4}{5}, 0\right)$ .

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Intermediate Geometry : x and y Intercept

Study concepts, example questions & explanations for Intermediate Geometry

All Intermediate Geometry Resources

Example Questions

Example Question #41 : X And Y Intercept

Example Question #42 : X And Y Intercept

Example Question #43 : X And Y Intercept

Example Question #44 : X And Y Intercept

Example Question #45 : X And Y Intercept

Example Question #46 : X And Y Intercept

Example Question #47 : X And Y Intercept

Example Question #48 : X And Y Intercept

Example Question #49 : X And Y Intercept

Example Question #50 : X And Y Intercept

All Intermediate Geometry Resources

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