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High School Math : Intercepts and Curves

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Example Questions

Example Question #1 : Intercepts And Curves

What is the y-intercept of the equation?

y=5x+5

Possible Answers:

$(0,\frac{1}{5})$

(0,0)

(0,25)

(0,5)

(0,1)

Correct answer:

(0,5)

Explanation:

To find the y-intercept, we set the value equal to zero and solve for the value of .

y=5x+5

y=5(0)+5

y=0+5

y=5

Since the y-intercept is a point, we want to write our answer in point notation: (0,5) .

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Example Question #2 : Intercepts And Curves

What is the x-intercept of the equation?

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

Possible Answers:

(-12,0)

(-18,0

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

(0,0)

(6,0)

Correct answer:

(-18,0

Explanation:

To find the x-intercept of an equation, set the value equal to zero and solve for .

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

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

Subtract from both sides.

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

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

Multiply both sides by $\frac{3}{2}$ .

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

-18= x

Since the x-intercept is a point, we will want to write it in point notation: (-18,0

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Example Question #3 : How To Find X Or Y Intercept

What is the y-intercept of y=5x+20?

Possible Answers:

$\frac{1}{4}$

100

Correct answer:

Explanation:

To solve for the y-intercept, set the x value equal to zero:

y=5x+20

y=5(0)+20

y=20

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Example Question #3 : Intercepts And Curves

What is the x-intercept of y=5x+20 ?

Possible Answers:

$-\frac{1}{4}$

Correct answer:

Explanation:

To solve for the x-intercept, set the y value equal to zero:

y=5x+20

0=5x+20

Subtract from both sides:

-20=5x

$\frac{-20}{5}=x$

-4=x

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Example Question #5 : How To Find X Or Y Intercept

What is the y-intercept of 2y=3x+5 ?

Possible Answers:

$\frac{1}{2}$

$\frac{2}{5}$

$\frac{10}{3}$

$\frac{5}{2}$

Correct answer:

$\frac{5}{2}$

Explanation:

To find the y-intercept, set the x value to zero and solve:

2y=3x+5

2y=3(0)+5

2y=5

$y=\frac{5}{2}$

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Example Question #4 : Intercepts And Curves

What is the x-intercept of $y=\frac{2}{3}x+6$ ?

Possible Answers:

x=6

x=-4

x=9

x=0

x=-9

Correct answer:

x=-9

Explanation:

To solve for the x-intercept, we set the value equal to and solve.

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

$0=\frac{2}{3}x+6$

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

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

-9=x

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Example Question #5 : Intercepts And Curves

What is the y-intercept of $y=\frac{2}{3}x+6$ ?

Possible Answers:

y=-6

y=6

y=4

y=-9

y=18

Correct answer:

y=6

Explanation:

When looking at an equation in standard y=mx+b form, is our y-intercept.

Or, set the value equal to and solve.

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

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

y=6

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Example Question #6 : Intercepts And Curves

What is the y-intercept of 5x+6y=-12 ?

Possible Answers:

Correct answer:

Explanation:

Isolate for so that the equation is in slope-intercept form y=mx+b .

The is the y-intercept, which in this case, is .

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Example Question #7 : Intercepts And Curves

What are the -intercepts of y=x^2-6x ?

Possible Answers:

x=-1, -6

x=16

x=0

x=0, 6

x=0, -6

Correct answer:

x=0, 6

Explanation:

Factor out an from the original equation so that it is x(x-6) .

Set that expressions equal to so that you can find the -intercepts. Your answers are and .

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Example Question #8 : Intercepts And Curves

Find the -intercepts of y=3x^2-9x.

Possible Answers:

x=0, -3

x=3, -3

x=0, 3

x=-3, -9

Correct answer:

x=0, 3

Explanation:

Take out a from the original equation so that you can set the expression 3x(x-3) equal to and get your -intercepts and .

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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 #1 : Intercepts And Curves

Example Question #2 : Intercepts And Curves

Example Question #3 : How To Find X Or Y Intercept

Example Question #3 : Intercepts And Curves

Example Question #5 : How To Find X Or Y Intercept

Example Question #4 : Intercepts And Curves

Example Question #5 : Intercepts And Curves

Example Question #6 : Intercepts And Curves

Example Question #7 : Intercepts And Curves

Example Question #8 : Intercepts And Curves

All High School Math Resources

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