SSAT Upper Level Math : Geometry

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

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Example Questions

Example Question #4 : How To Find Slope Of A Line

Find the slope of the line that passes through the points 

Possible Answers:

Correct answer:

Explanation:

Use the following formula to find the slope:

Example Question #5 : How To Find Slope Of A Line

Find the slope of the line that passes through the points .

Possible Answers:

Correct answer:

Explanation:

Use the following formula to find the slope:

Example Question #23 : Coordinate Geometry

Find the slope of the line that passes through the points 

Possible Answers:

Correct answer:

Explanation:

Use the following formula to find the slope:

Example Question #8 : How To Find Slope Of A Line

Find the slope of the line that passes through the points  and .

Possible Answers:

Correct answer:

Explanation:

Use the following formula to find the slope:

Plug in the given points to find the slope.

Example Question #7 : How To Find Slope Of A Line

A line goes passes through the points . What is the slope of this line?

Possible Answers:

Correct answer:

Explanation:

Use the following formula to find the slope of a line:

The slope of this line would be

Example Question #3 : How To Find The Slope Of A Line

What is the slope of line 3 = 8y - 4x?

Possible Answers:

0.5

-0.5

2

-2

Correct answer:

0.5

Explanation:

Solve equation for y. y=mx+b, where m is the slope

Example Question #31 : Lines

Find the slope of the line  6X – 2Y = 14

 

Possible Answers:

12

-3

3

-6

Correct answer:

3

Explanation:

Put the equation in slope-intercept form:

y = mx + b

-2y = -6x +14

y = 3x – 7

The slope of the line is represented by M; therefore the slope of the line is 3.

 

Example Question #4 : How To Find The Slope Of A Line

If 2x – 4y = 10, what is the slope of the line?

Possible Answers:

–2

0.5

2

–5/2

–0.5

Correct answer:

0.5

Explanation:

First put the equation into slope-intercept form, solving for y: 2x – 4y = 10 → –4y = –2x + 10 → y = 1/2*x – 5/2. So the slope is 1/2.

Example Question #21 : Other Lines

What is the slope of the line with equation 4x – 16y = 24?

Possible Answers:

–1/4

1/2

1/8

1/4

–1/8

Correct answer:

1/4

Explanation:

The equation of a line is:

y = mx + b, where m is the slope

4x – 16y = 24

–16y = –4x + 24

y = (–4x)/(–16) + 24/(–16)

y = (1/4)x – 1.5

Slope = 1/4

Example Question #3 : Other Lines

What is the slope of a line which passes through coordinates \dpi{100} \small (3,7) and \dpi{100} \small (4,12)?

Possible Answers:

\dpi{100} \small 3

\dpi{100} \small \frac{1}{5}

\dpi{100} \small 2

\dpi{100} \small \frac{1}{2}

\dpi{100} \small 5

Correct answer:

\dpi{100} \small 5

Explanation:

Slope is found by dividing the difference in the \dpi{100} \small y-coordinates by the difference in the \dpi{100} \small x-coordinates.

\dpi{100} \small \frac{(12-7)}{(4-3)}=\frac{5}{1}=5

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