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High School Math : Coordinate Geometry

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Example Questions

Example Question #71 : Coordinate Geometry

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:

$\frac{1}{2}$

$\frac{2}{5}$

$\frac{5}{2}$

$\frac{10}{3}$

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 #72 : Coordinate Geometry

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

Possible Answers:

x=-4

x=0

x=-9

x=9

x=6

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 #7 : How To Find X Or Y Intercept

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

Possible Answers:

y=18

y=-6

y=4

y=6

y=-9

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 #8 : How To Find X Or Y Intercept

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 #73 : Coordinate Geometry

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

Possible Answers:

x=-1, -6

x=0, 6

x=16

x=0, -6

x=0

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 #10 : How To Find X Or Y Intercept

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

Possible Answers:

x=-3, -9

x=3, -3

x=0, -3

x=0, 3

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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Example Question #74 : Coordinate Geometry

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

Possible Answers:

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

x=96

x=12

x=-12

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

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 #75 : Coordinate Geometry

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 #76 : Coordinate Geometry

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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High School Math : Coordinate Geometry

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

Example Question #71 : Coordinate Geometry

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

Example Question #72 : Coordinate Geometry

Example Question #7 : How To Find X Or Y Intercept

Example Question #8 : How To Find X Or Y Intercept

Example Question #73 : Coordinate Geometry

Example Question #10 : How To Find X Or Y Intercept

Example Question #74 : Coordinate Geometry

Example Question #75 : Coordinate Geometry

Example Question #76 : Coordinate Geometry

All High School Math Resources

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