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SSAT Upper Level Math : Coordinate Geometry

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All SSAT Upper Level Math Resources

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Example Questions

Example Question #1 : How To Find The Slope Of A Perpendicular Line

A line is defined by the following equation:

2x-4y=6

What is the slope of a line that is perpendicular to the line above?

Possible Answers:

$\frac{1}{2}$

$-\frac{1}{2}$

Correct answer:

Explanation:

The equation of a line is y=mx+b where is the slope.

Rearrange the equation to match this:

2x-4y=6

-4y=-2x+6

4y=2x-6

$y=\frac{2}{4}x-\frac{6}{4}$

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

$m=\frac{1}{2}$

For the perpendicular line, the slope is the negative reciprocal;

therefore $m=\frac{-2}{1}=-2$

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Example Question #71 : Coordinate Geometry

Find the slope of the line perpendicular to the line that has the equation y=2x-1 .

Possible Answers:

$\frac{1}{2}$

$-\frac{1}{2}$

Correct answer:

$-\frac{1}{2}$

Explanation:

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, change the sign and flip the fraction around.

$\frac{2}{1}\rightarrow-\frac{1}{2}$

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Example Question #72 : Coordinate Geometry

Find the slope of a line perpendicular to the line with the equation y=-9x-1 .

Possible Answers:

$\frac{1}{9}$

$-\frac{1}{9}$

Correct answer:

$\frac{1}{9}$

Explanation:

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, change the sign and flip the fraction around to find the slope of the line perpendicular to the given one.

$-9\rightarrow\frac{1}{9}$

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Example Question #73 : Coordinate Geometry

Find the slope of a line that is perpendicular to the line with the equation $y=\frac{1}{5}x-2$ .

Possible Answers:

$-\frac{1}{5}$

$\frac{1}{5}$

Correct answer:

Explanation:

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, change the sign and flip the fraction around to find the slope of the line perpendicular to the given one.

$\frac{1}{5}\rightarrow-5$

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Example Question #74 : Coordinate Geometry

Find the slope of a line that is perpendicular to the line with the equation $y=\frac{3}{2}x-1$ .

Possible Answers:

$-\frac{3}{2}$

$\frac{3}{2}$

$-\frac{2}{3}$

$\frac{2}{3}$

Correct answer:

$-\frac{2}{3}$

Explanation:

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, change the sign and flip the fraction around to find the slope of the line perpendicular to the given one.

$\frac{3}{2}\rightarrow-\frac{2}{3}$

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Example Question #75 : Coordinate Geometry

Find the slope of a line that is perpendicular to the line with the equation $y=\frac{7}{6}x-8$ .

Possible Answers:

$-\frac{6}{7}$

$\frac{6}{7}$

$-\frac{7}{6}$

$\frac{7}{6}$

Correct answer:

$-\frac{6}{7}$

Explanation:

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, change the sign and flip the fraction around to find the slope of the line perpendicular to the given one.

$\frac{7}{6}\rightarrow-\frac{6}{7}$

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Example Question #76 : Coordinate Geometry

Find the slope of a line that is perpendicular to the line with the equation $y=\frac{4}{5}x+9$ .

Possible Answers:

$-\frac{4}{5}$

$\frac{5}{4}$

$-\frac{5}{4}$

$\frac{4}{5}$

Correct answer:

$-\frac{5}{4}$

Explanation:

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, change the sign and flip the fraction around to find the slope of the line perpendicular to the given one.

$\frac{4}{5}\rightarrow-\frac{5}{4}$

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Example Question #77 : Coordinate Geometry

Find the slope of a line that is perpendicular to the line with the equation $y=\frac{9}{4}x-5$ .

Possible Answers:

$\frac{9}{4}$

$-\frac{9}{4}$

$\frac{4}{9}$

$-\frac{4}{9}$

Correct answer:

$-\frac{4}{9}$

Explanation:

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, change the sign and flip the fraction around to find the slope of the line perpendicular to the given one.

$\frac{9}{4}\rightarrow-\frac{4}{9}$

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Example Question #78 : Coordinate Geometry

Find the slope of a line that is perpendicular to the line with the equation $y=\frac{4}{5}x-8$ .

Possible Answers:

$\frac{5}{4}$

$-\frac{4}{5}$

$-\frac{5}{4}$

$\frac{4}{5}$

Correct answer:

$-\frac{5}{4}$

Explanation:

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, change the sign and flip the fraction around to find the slope of the line perpendicular to the given one.

$\frac{4}{5}\rightarrow-\frac{5}{4}$

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Example Question #79 : Coordinate Geometry

Find the slope of a line that is perpendicular to the line with the equation $y=-\frac{3}{8}x+2$ .

Possible Answers:

$\frac{8}{3}$

$-\frac{3}{8}$

$\frac{3}{8}$

$-\frac{8}{3}$

Correct answer:

$\frac{8}{3}$

Explanation:

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, change the sign and flip the fraction around to find the slope of the line perpendicular to the given one.

$-\frac{3}{8}\rightarrow\frac{8}{3}$

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SSAT Upper Level Math : Coordinate Geometry

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

All SSAT Upper Level Math Resources

Example Questions

Example Question #1 : How To Find The Slope Of A Perpendicular Line

Example Question #71 : Coordinate Geometry

Example Question #72 : Coordinate Geometry

Example Question #73 : Coordinate Geometry

Example Question #74 : Coordinate Geometry

Example Question #75 : Coordinate Geometry

Example Question #76 : Coordinate Geometry

Example Question #77 : Coordinate Geometry

Example Question #78 : Coordinate Geometry

Example Question #79 : Coordinate Geometry

All SSAT Upper Level Math Resources

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