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High School Math : Intercepts and Curves

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Example Questions

Example Question #11 : Intercepts And Curves

What is the x-intercept of y=8x+12 ?

Possible Answers:

$x=\frac{3}{2}$

x=-12

x=96

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

x=12

Correct answer:

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

Explanation:

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

y=8x+12

0=8x+12

Subtract from both sides.

0-12=8x+12-12

-12=8x

Divide both sides by .

$\frac{-12}{8}=x$

Simplify.

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

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Example Question #12 : Intercepts And Curves

What is the x-intercept of the following equation?

5x + 10y = 25

Possible Answers:

-5

Correct answer:

Explanation:

5x + 10y = 25

We want to find the x-intercept, which is the point at which the graph crosses the x-axis. Every point on the x-axis has a y-value of 0. Thus, to find the x-intercept we just need to plug 0 in for y.

Thus, 5x = 25 .

Dividing both sides by , we get x = 5 .

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Example Question #13 : Intercepts And Curves

What is the y-intercept of the following curve?

$y = 3x^{2}+6$

Possible Answers:

Correct answer:

Explanation:

The y-intercept of a curve is the value of that curve when the x-coordinate is . Thus, we plug in x = 0 to our equation, yielding y = 3(0) + 6 = 6 .

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Example Question #14 : Intercepts And Curves

Find the x and y-intercepts of the following equation:

y=6x-13

Possible Answers:

y-intercept: (0,-13)

x-intercept: $(-\frac{13}{6},0)$

y-intercept: (0,13)

x-intercept: $(-\frac{13}{6},0)$

y-intercept: (0,-13)

x-intercept: $(\frac{13}{6},0)$

y-intercept: (0,13)

x-intercept: $(\frac{13}{6},0)$

y-intercept: $(\frac{13}{6},0)$

x-intercept: (0,-13)

Correct answer:

y-intercept: (0,-13)

x-intercept: $(\frac{13}{6},0)$

Explanation:

To find the y-intercept, substitute zero for x and solve for y:

y=6x-13

y=6(0)-13

y=-13

The y-intercept is at point (0,-13) .

To find the x-intercept, substitute zero for y and solve for x:

y=6x-13

0=6(x)-13

13=6(x)

$x=\frac{13}{6}$

The x-intercept is at point $(\frac{13}{6},0)$ .

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Example Question #15 : Intercepts And Curves

What is the x-intercept of y=5x-15 ?

Possible Answers:

$x=\frac{1}{3}$

x=-3

x=-15

x=15

x=3

Correct answer:

x=3

Explanation:

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

y=5x-15

0=5x-15

Add to both sides.

0+15=5x-15+15

15=5x

Divide both sides by .

$\frac{15}{5}=x$

Simplify.

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Example Question #16 : Intercepts And Curves

What is the x-intercept of $y=-\frac{1}{3}x+2$ ?

Possible Answers:

x=-6

x=2

x=3

x=6

x=-2

Correct answer:

x=6

Explanation:

To find the x-intercept, set y=0 and solve.

$y=-\frac{1}{3}x+2$

$0=-\frac{1}{3}x+2$

$-2=-\frac{1}{3}x$

Multiply both sides by .

-2*-3=x

6=x

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Example Question #17 : How To Find X Or Y Intercept

What is the x-intercept of $y=\frac{2}{3}x-5$ ?

Possible Answers:

-7.5

7.5

Correct answer:

7.5

Explanation:

To find the x-intercept, set y=0 and solve.

$y=\frac{2}{3}x-5$

$0=\frac{2}{3}x-5$

$5=\frac{2}{3}x$

$\frac{3}{2}*5=x$

7.5=x

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Example Question #82 : Algebra I

What is the y-intercept of $y=\frac{2}{3}x-5$ ?

Possible Answers:

-7.5

7.5

$\frac{2}{3}$

Correct answer:

Explanation:

To find the y-intercept, set x=0 and solve.

$y=\frac{2}{3}x-5$

$y=\frac{2}{3}(0)-5$

y=0-5

y=-5

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Example Question #17 : How To Find X Or Y Intercept

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

Find the -intercept.

Possible Answers:

x=-12

x=18

x=-18

x=-8

x=8

Correct answer:

x=-18

Explanation:

To find the -intercept, we set the -value equal to zero.

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

$0=\frac{2}{3}x+12$

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

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

$\frac{3*-12}{2}=\frac{6}{6}x$

$\frac{-36}{2}=x$

-18=x

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Example Question #20 : How To Find X Or Y Intercept

What is the -intercept of $y=\frac{2}{3}x+12$ ?

Possible Answers:

Correct answer:

Explanation:

To find the -intercept, set the value equal to zero:

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

$0=\frac{2}{3}x+12$

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

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

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

$\frac{-36}{2}=\frac{6}{6}x$

-18=x

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All High School Math Resources

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High School Math : Intercepts and Curves

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

Example Question #11 : Intercepts And Curves

Example Question #12 : Intercepts And Curves

Example Question #13 : Intercepts And Curves

Example Question #14 : Intercepts And Curves

Example Question #15 : Intercepts And Curves

Example Question #16 : Intercepts And Curves

Example Question #17 : How To Find X Or Y Intercept

Example Question #82 : Algebra I

Example Question #17 : How To Find X Or Y Intercept

Example Question #20 : How To Find X Or Y Intercept

All High School Math Resources

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