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SSAT Upper Level Math : Slope

Study concepts, example questions & explanations for SSAT Upper Level Math

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All SSAT Upper Level Math Resources

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Example Questions

Example Question #251 : Geometry

What is the slope of the line that passes through the points $(-1,4) \text{ and } (-5,1)$ ?

Possible Answers:

$\frac{4}{3}$

$-\frac{3}{4}$

$\frac{3}{4}$

$-\frac{4}{3}$

Correct answer:

$\frac{3}{4}$

Explanation:

Use the following formula to find the slope:

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

Substituting the values from the points given, we get the following slope:

$\text{Slope}=\frac{1-4}{-5-(-1)}=\frac{-3}{-4}=\frac{3}{4}$

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Example Question #1 : Slope

Find the slope of a line that passes through the points (17,2) and (-2, -1) .

Possible Answers:

$-\frac{3}{19}$

$\frac{3}{19}$

$\frac{19}{3}$

$-\frac{19}{3}$

Correct answer:

$\frac{3}{19}$

Explanation:

To find the slope of the line that passes through the given points, you can use the slope equation.

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

$\text{Slope}=\frac{-1-2}{-2-17}=\frac{-3}{-19}=\frac{3}{19}$

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Example Question #2 : Slope

Find the slope of the line that passes through the points (a, b) and (2, 3) .

Possible Answers:

$\frac{2-b}{3-a}$

$\frac{3-b}{2-a}$

$\frac{3-a}{2-b}$

$\frac{2-a}{3-b}$

Correct answer:

$\frac{3-b}{2-a}$

Explanation:

To find the slope of the line that passes through the given points, you can use the slope equation.

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

$\text{Slope}=\frac{3-b}{2-a}$

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Example Question #1 : Use Similar Triangles To Show Equal Slopes: Ccss.Math.Content.8.Ee.B.6

A line has the equation 5x-9y=12 . What is the slope of this line?

Possible Answers:

$\frac{5}{9}$

$-\frac{4}{3}$

$\frac{9}{5}$

Correct answer:

$\frac{5}{9}$

Explanation:

You need to put the equation in y=mx+b form before you can easily find out its slope.

5x-9y=12

-9y=-5x+12

$y=\frac{5}{9}x-\frac{4}{3}$

Since $m=\frac{5}{9}$ , that must be the slope.

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Example Question #483 : Ssat Upper Level Quantitative (Math)

Find the slope of the line that goes through the points (4t, 8s) and (2t, -9s) .

Possible Answers:

$\frac{-s}{6t}$

$\frac{17s}{2t}$

$\frac{6t}{-s}$

$\frac{2t}{17s}$

Correct answer:

$\frac{17s}{2t}$

Explanation:

Even though there are variables involved in the coordinates of these points, you can still use the slope formula to figure out the slope of the line that connects them.

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

$\text{Slope}=\frac{-9s-8s}{2t-4t}=\frac{-17s}{-2t}=\frac{17s}{2t}$

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Example Question #2 : How To Find Slope

The equation of a line is 12x-8y=6 . Find the slope of this line.

Possible Answers:

$\frac{3}{2}$

$\frac{3}{4}$

$-\frac{3}{4}$

$-\frac{3}{2}$

Correct answer:

$\frac{3}{2}$

Explanation:

To find the slope, you will need to put the equation in y=mx+b form. The value of will be the slope.

12x-8y=6

Subtract from either side:

8y=12x-6

Divide each side by :

$y=\frac{3}{2}x-\frac{3}{4}$

You can now easily identify the value of .

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

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Example Question #3 : Slope

Find the slope of the line that passes through the points (0,3) and (8,1) .

Possible Answers:

$\frac{1}{4}$

$-\frac{1}{4}$

Correct answer:

$-\frac{1}{4}$

Explanation:

You can use the slope formula to figure out the slope of the line that connects these two points. Just substitute the specified coordinates into the equation and then subtract:

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

$\text{Slope}=\frac{3-1}{0-8}=\frac{2}{-8}=-\frac{1}{4}$

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Example Question #263 : Geometry

Find the slope of the following function: 2x-6y=3

Possible Answers:

$\frac{1}{3}$

Correct answer:

$\frac{1}{3}$

Explanation:

Rewrite the equation in slope-intercept form, y=mx+b .

2x-6y=3

2x=3+6y

2x-3=6y

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

$y=\frac{1}{3}x-\frac{1}{2}$

The slope is the term, which is $\frac{1}{3}$ .

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Example Question #264 : Geometry

Find the slope of the line given the two points: $(5,8) \textup{ and } (-3,-7)$

Possible Answers:

$\frac{15}{8}$

$-\frac{15}{8}$

$\frac{8}{15}$

$-\frac{8}{15}$

$\frac{4}{3}$

Correct answer:

$\frac{15}{8}$

Explanation:

Write the formula to find the slope.

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

Either equation will work. Let's choose the latter. Substitute the points.

$m=\frac{y_1-y_2}{x_1-x_2}=\frac{8-(-7)}{5-(-3)}= \frac{15}{8}$

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Example Question #1 : How To Find Slope

What is the slope of the line with the equation 2x+3y=-9?

Possible Answers:

$-\frac{3}{2}$

$-\frac{2}{3}$

Correct answer:

$-\frac{2}{3}$

Explanation:

To find the slope, put the equation in the form of y=mx+b .

2x+3y=-9

3y=-2x-9

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

Since $m=-\frac{2}{3}$ , that is the value of the slope.

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SSAT Upper Level Math : Slope

Study concepts, example questions & explanations for SSAT Upper Level Math

All SSAT Upper Level Math Resources

Example Questions

Example Question #251 : Geometry

Example Question #1 : Slope

Example Question #2 : Slope

Example Question #1 : Use Similar Triangles To Show Equal Slopes: Ccss.Math.Content.8.Ee.B.6

Example Question #483 : Ssat Upper Level Quantitative (Math)

Example Question #2 : How To Find Slope

Example Question #3 : Slope

Example Question #263 : Geometry

Example Question #264 : Geometry

Example Question #1 : How To Find Slope

All SSAT Upper Level Math Resources

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