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GED Math : X-intercept and y-intercept

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Example Question #751 : Geometry And Graphs

Determine the x-intercept of the following: y= 5x-6

Possible Answers:

$\frac{5}{6}$

$-\frac{5}{6}$

$\frac{6}{5}$

Correct answer:

$\frac{6}{5}$

Explanation:

The x-intercept is the value of when y=0 .

Substitute y=0 into the given equation.

0=5x-6

Add 6 on both sides.

0+6=5x-6+6

6=5x

Divide by 5 on both sides.

$\frac{6}{5}=\frac{5x}{5}$

The answer is: $\frac{6}{5}$

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Example Question #11 : X Intercept And Y Intercept

What is the x-intercept of the following equation? y=3x-1

Possible Answers:

$\frac{1}{3}$

$-\frac{1}{3}$

Correct answer:

$\frac{1}{3}$

Explanation:

The x-intercept is the value of when y=0 . Substitute the value for y.

0=3x-1

Add one on both sides.

0+1=3x-1+1

1=3x

Divide by three on both sides.

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

The answer is: $\frac{1}{3}$

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Example Question #11 : X Intercept And Y Intercept

What is the y-intercept given the following function? $y= \frac{1}{100}x$

Possible Answers:

$\textup{The y-intercept does not exist.}$

$\frac{99}{100}$

$\frac{1}{100}$

100

Correct answer:

Explanation:

The following equation is already written in slope-intercept form.

y=mx+b

The y-intercept is the variable .

Since the value is absent, the y-intercept is zero.

The answer is:

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Example Question #762 : Geometry And Graphs

Find the x-intercept of the line with the equation 10x-3y=12 .

Possible Answers:

(5, 0)

(2, 0)

$(-\frac{3}{5}, 0)$

$(\frac{6}{5}, 0)$

Correct answer:

$(\frac{6}{5}, 0)$

Explanation:

Recall that at the x-intercept, the y-coordinate will be . Thus, plug in for in the given equation.

10x-3(0)=12

10x=12

$x=\frac{6}{5}$

The coordinates of the x-intercept is located at $(\frac{6}{5}, 0)$ .

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Example Question #11 : X Intercept And Y Intercept

Find the x-intercept of the following equation:

$\large y-5=2x+12$

Possible Answers:

8.5

-8.5

Correct answer:

-8.5

Explanation:

Find the x-intercept of the following equation:

$\large y-5=2x+12$

The x-intercept is the point where the line crosses the x-axis. At this point, the y-value must be 0.

To find the x-intercept, plug in "0" for y and solve for x.

$0-5=2x+12\rightarrow-5=2x+12$

$-5=2x+12\rightarrow-5-12=2x\rightarrow-17=2x$

Now finish up by dividing by 2:

$x=-\frac{17}{2}=-8.5$

We can check our answer by plugging it back into our equation:

0-5=2(-8.5)+12

-5=-17+12

-5=-5

Everything looks good, so our answer is -8.5

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Example Question #51 : Coordinate Geometry

The following points lie on a line.

$\begin{tabular}{ |c|c| } \hline x& y \\ \hline -3 & 11 \\ 1 & -1 \\ 3 &-7\\ \hline \end{tabular}$

What is the equation of the line?

Possible Answers:

y=-2x+3

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

y=-4x-2

y=-3x+2

Correct answer:

y=-3x+2

Explanation:

Start by finding the slope of the line by using any two points.

Recall how to find the slope of a line:

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$

Using the points $(1, -1)\text{ and }(3, -7)$ , we can find the slope.

$\text{Slope}=\frac{-7-(-1)}{3-1}=\frac{-6}{2}=-3$

Now, we can write the following equation:

y=3x+b

To find the value of , the y-intercept, plug in any point into the equation above. Using the point (1, -1) , we can write the following equation:

-1=3(1)+b

b=2

Thus, the complete equation for this line is y=-3x+2 .

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Example Question #761 : Geometry And Graphs

Find the x intercept of the following linear equation.

4y=12x+6

Possible Answers:

$\frac{1}{2}$

$-\frac{1}{2}$

Correct answer:

$-\frac{1}{2}$

Explanation:

Find the x intercept of the following linear equation.

4y=12x+6

x intercepts occur when y=0, in other words, when we have no height.

So, plug in 0 for y and solve for x

$4(0)=12x+6 \rightarrow 0=12x+6$

$0=12x+6 \rightarrow -6=12x$

$x=-\frac{6}{12}=-\frac{1}{2}$

So our x intercept is negative one half.

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Example Question #11 : X Intercept And Y Intercept

Find the y intercept of the following linear equation.

4y=12x+6

Possible Answers:

$\frac{6}{7}$

1.5

$\frac{2}{3}$

$-\frac{1}{2}$

Correct answer:

1.5

Explanation:

Find the y intercept of the following linear equation.

4y=12x+6

The y-intercept occurs when x is 0. Find it by plugging in 0 for x and solving for y.

$4y=12(0)+6 \rightarrow 4y=6$

$4y=6\rightarrow y=\frac{6}{4}=\frac{3}{2}=1.5$

So our answer is 1.5

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GED Math : X-intercept and y-intercept

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #751 : Geometry And Graphs

Example Question #11 : X Intercept And Y Intercept

Example Question #11 : X Intercept And Y Intercept

Example Question #762 : Geometry And Graphs

Example Question #11 : X Intercept And Y Intercept

Example Question #51 : Coordinate Geometry

Example Question #761 : Geometry And Graphs

Example Question #11 : X Intercept And Y Intercept

All GED Math Resources

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