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GED Math : Finding Slope and Intercepts

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Example Questions

Example Question #91 : Linear Algebra

What is the slope of the line? x=5y-3

Possible Answers:

$-\frac{5}{3}$

$\frac{1}{3}$

$\frac{1}{5}$

Correct answer:

$\frac{1}{5}$

Explanation:

To determine the slope, rewrite this equation in slope-intercept form.

y=mx+b , where is the slope.

Add three on both sides.

x+3=5y-3+3

x+3=5y

Divide by 5 on both sides.

$\frac{x+3}{5}=\frac{5y}{5}$

Simplify both sides.

$y= \frac{1}{5}x+\frac{3}{5}$

The answer is: $\frac{1}{5}$

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Example Question #21 : Finding Slope And Intercepts

Determine the slope of the following equation: 2x-9y=7

Possible Answers:

$\frac{2}{9}$

$-\frac{7}{2}$

$\frac{7}{9}$

$\frac{7}{2}$

Correct answer:

$\frac{2}{9}$

Explanation:

To determine the slope, first put the given equation in slope-intercept form.

y=mx+b

Subtract from both sides.

2x-9y-2x=7-2x

-9y = -2x+7

Divide both sides by negative nine.

$\frac{-9y }{-9}=\frac{ -2x+7}{-9}$

$y= \frac{2}{9}x-\frac{7}{9}$

The slope is , or $\frac{2}{9}$ .

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Example Question #22 : Finding Slope And Intercepts

Find the slope given the following equation: $-2y=\frac{2}{3}x+6$

Possible Answers:

$\frac{2}{3}$

$-\frac{4}{3}$

$-\frac{1}{3}$

$\frac{1}{3}$

$-\frac{2}{3}$

Correct answer:

$-\frac{1}{3}$

Explanation:

The given equation is not in slope-intercept form, y=mx+b .

Multiply both sides by negative half to isolate .

$-2y\cdot -\frac{1}{2}=-\frac{1}{2}(\frac{2}{3}x+6)$

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

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

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Example Question #23 : Finding Slope And Intercepts

What is the y-intercept of the following line:

9y = 18x + 27

Possible Answers:

Correct answer:

Explanation:

To find the y-intercept, we will write the equation in slope-intercept form

y=mx+b

where b is the y-intercept.

So, given the equation of the line

9y = 18x + 27

we will solve for y. We get

$\frac{9y}{9} = \frac{18x}{9} + \frac{27}{9}$

y = 2x+3

Therefore, the y-intercept of the equation is 3.

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Example Question #24 : Finding Slope And Intercepts

Find the slope of the following line:

9y = 18x + 27

Possible Answers:

Correct answer:

Explanation:

To find the slope of the line, we will write the equation in slope-intercept form:

y=mx+b

where m is the slope of the line.

So, given the line

9y = 18x + 27

we will solve for y. We get

$\frac{9y}{9} = \frac{18x}{9} + \frac{27}{9}$

y = 2x+3

Therefore, the slope of the line is 2.

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Example Question #21 : Finding Slope And Intercepts

Determine the slope of the following equation: x+y-6 =0

Possible Answers:

$-\frac{1}{6}$

$\frac{1}{6}$

Correct answer:

Explanation:

To identify the slope, we will need the equation in slope-intercept form.

y=mx+b

Add 6 on both sides.

x+y-6 +6=0+6

x+y=6

Subtract on both sides.

x+y-x=6-x

The equation becomes: y=-x+6

The slope is the coefficient of , which is .

The answer is:

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Example Question #22 : Finding Slope And Intercepts

What is the slope given a point (1,2) and a y-intercept of 5?

Possible Answers:

$\textup{Cannot be determined.}$

$-\frac{1}{2}$

Correct answer:

Explanation:

The y-intercept is the value at x=0 , which means another given point is (0,5) .

Write the formula to find the slope.

$m =\frac{y_2-y_1}{x_2-x_1}$

Substitute the points.

$m =\frac{2-5}{1-0} = \frac{-3}{1} = -3$

The answer is:

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Example Question #822 : Ged Math

What is the slope of the following equation? y= -8x-19

Possible Answers:

$\frac{19}{8}$

$\frac{8}{19}$

Correct answer:

Explanation:

The equation is already given in slope-intercept form:

y=mx+b

The is the slope, and the represents the y-intercept.

The answer is:

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Example Question #25 : Finding Slope And Intercepts

What is the slope of the line that passes through the points (4, 5) and (12, 4) ?

Possible Answers:

$\frac{1}{8}$

$\frac{7}{8}$

$-\frac{1}{8}$

Correct answer:

$-\frac{1}{8}$

Explanation:

Recall how to find the slope of a line:

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

Plug in the coordinates from the given points to find the slope.

$\text{Slope}=\frac{4-5}{12-4}=-\frac{1}{8}$

The slope of the line is $-\frac{1}{8}$ .

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Example Question #23 : Finding Slope And Intercepts

Find the slope of the following equation: 2x-6y = 7x

Possible Answers:

$-\frac{1}{2}$

$-\frac{5}{6}$

$-\frac{7}{12}$

$\frac{7}{4}$

$\frac{6}{5}$

Correct answer:

$-\frac{5}{6}$

Explanation:

Subtract from both sides.

2x-6y-2x = 7x-2x

-6y = 5x

Divide by negative 6 on both sides.

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

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

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

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All GED Math Resources

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GED Math : Finding Slope and Intercepts

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #91 : Linear Algebra

Example Question #21 : Finding Slope And Intercepts

Example Question #22 : Finding Slope And Intercepts

Example Question #23 : Finding Slope And Intercepts

Example Question #24 : Finding Slope And Intercepts

Example Question #21 : Finding Slope And Intercepts

Example Question #22 : Finding Slope And Intercepts

Example Question #822 : Ged Math

Example Question #25 : Finding Slope And Intercepts

Example Question #23 : Finding Slope And Intercepts

All GED Math Resources

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