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High School Math : Coordinate Geometry

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Example Question #81 : Coordinate Geometry

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 #82 : Coordinate Geometry

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

Possible Answers:

x=3

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

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 #81 : Coordinate Geometry

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

Possible Answers:

x=2

x=6

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 #11 : 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 #85 : Coordinate Geometry

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 #86 : Coordinate Geometry

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

Find the -intercept.

Possible Answers:

x=-8

x=18

x=-18

x=-12

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 #11 : 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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Example Question #88 : Coordinate Geometry

What is the y-intercept of the following line:

3x + 2y = 6 ?

Possible Answers:

(0, 2)

(2, 0)

(0, 3)

(3, 0)

(0, -3)

Correct answer:

(0, 3)

Explanation:

The y-intercept is precisely the point in which the x-value is . Thus, we plug in to our equation and solve for .

3(0) + 2y = 6

2y = 6

y = 3

Thus our intercept is (0,3) .

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Example Question #89 : Coordinate Geometry

What is the -intercept of the equation?

y=5x+5

Possible Answers:

(-1,0)

(1,0)

(25,0)

(-5,0)

(5,0)

Correct answer:

(-1,0)

Explanation:

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

y=5x+5

0=5x+5

Subtract from both sides.

0-5=5x+5-5

-5=5x

Divide both sides by .

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

-1=x

Since the x-intercept is a point, we will write our answer in point notation: (-1,0) .

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Example Question #90 : Coordinate Geometry

Find the -intercept of -3x-5y=10 .

Possible Answers:

Correct answer:

Explanation:

Put the equation in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

-3x-5y=10

-5y = 3x + 10

y = (-3/5)x + 10/(-5)

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

Now we can easily see that is the -intercept.

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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 #81 : Coordinate Geometry

Example Question #82 : Coordinate Geometry

Example Question #81 : Coordinate Geometry

Example Question #11 : How To Find X Or Y Intercept

Example Question #85 : Coordinate Geometry

Example Question #86 : Coordinate Geometry

Example Question #11 : How To Find X Or Y Intercept

Example Question #88 : Coordinate Geometry

Example Question #89 : Coordinate Geometry

Example Question #90 : Coordinate Geometry

All High School Math Resources

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