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Algebra 1 : Functions and Lines

Study concepts, example questions & explanations for Algebra 1

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10 Diagnostic Tests 557 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #121 : How To Find Slope Of A Line

You know that a line has the following points:

(9,4) and (12,8)

Calculate the slope of the line.

Possible Answers:

$\frac{4}{3}$

$\frac{3}{4}$

$-\frac{3}{4}$

$-\frac{4}{3}$

Correct answer:

$\frac{4}{3}$

Explanation:

The slope (m) of a line can be solved if you know at least two points that fall on the line using the following equation:

$m = \frac{y1-y2}{x1-x2}$

The coordinates are always written second when looking at coordinate pairs, and therefore the coordinates are first. We can thus insert our given points into this equation:

$m = \frac{4-8}{9-12}$

$m = \frac{-4}{-3}$

$m = \frac{4}{3}$

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Example Question #126 : How To Find Slope Of A Line

Find the slope of the line connecting the following two points:

(99,156) (44,101)

Possible Answers:

Correct answer:

Explanation:

Find the slope of the line connecting the following two points:

(99,156) (44,101)

Find slope with the following formula:

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

$m=\frac{156-101}{99-44}=\frac{55}{55}=1$

so our slope is simply 1

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Example Question #127 : How To Find Slope Of A Line

Find the slope of 2x-3y=19 .

Possible Answers:

$\frac{3}{2}$

$-\frac{2}{3}$

$\frac{2}{3}$

Correct answer:

$\frac{2}{3}$

Explanation:

In order to find the slope, we need to put the following equation in slope intercept form.

y=mx+b

The represents the slope.

Subtract on both sides.

2x-3y-2x=19-2x

Simplify the left side and reorganize the right.

-3y=-2x+19

Divide by negative three on both sides.

$\frac{-3y}{-3}=\frac{-2x+19}{-3}$

Simplify both sides.

$y=\frac{2}{3}x-\frac{19}{3}$

The slope is $\frac{2}{3}$ .

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Example Question #121 : How To Find Slope Of A Line

Find the slope of the following line:

2x+3y=5

Possible Answers:

$\frac{2}{3}$

$\frac{-2}{3}$

$\frac{-3}{2}$

$\frac{3}{2}$

Correct answer:

$\frac{-2}{3}$

Explanation:

In order to find the slope of this line, it needs to be converted from standard form into slope-intercept form. To do this solve for "y".

2x+3y=5

3y=-2x+5

$y=\frac{-2}{3}x+\frac{5}{3}$

The slope is the number in front of the "x" which in this case is -2/3

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Example Question #121 : How To Find Slope Of A Line

Find the slope of the following line:

x-y=6

Possible Answers:

$\frac{1}{6}$

Correct answer:

Explanation:

In order to find the slope of this line, it needs to be converted from standard form into slope-intercept form. To do this solve for "y".

x-y=6

-y=-x+6

y=x-6

The slope is the number in front of the "x" which in this case is 1

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Example Question #121 : How To Find Slope Of A Line

Find the slope of the following line:

3x+y=4

Possible Answers:

$\frac{3}{4}$

Correct answer:

Explanation:

In order to find the slope of this line, it needs to be converted from standard form into slope-intercept form. To do this solve for "y".

3x+y=4

y=-3x+4

The slope is the number in front of the "x" which in this case is -3

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Example Question #291 : Equations Of Lines

Find the slope of the following line:

-x+2y=2

Possible Answers:

$\frac{1}{2}$

$\frac{-1}{2}$

Correct answer:

$\frac{1}{2}$

Explanation:

In order to find the slope of this line, it needs to be converted from standard form into slope-intercept form. To do this solve for "y".

-x+2y=2

2y=x+2

$y=\frac{1}{2}x+1$

The slope is the number in front of the "x" which in this case is 1/2

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Example Question #292 : Equations Of Lines

Find the slope of the following ine:

-4x+2y=6

Possible Answers:

Correct answer:

Explanation:

In order to find the slope of this line, it needs to be converted from standard form into slope-intercept form. To do this solve for "y".

-4x+2y=6

2y=4x+6

y=2x+3

The slope is the number in front of the "x" which in this case is 2

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Example Question #293 : Equations Of Lines

Find the slope of the following line:

y-x=2

Possible Answers:

$\frac{1}{2}$

Correct answer:

Explanation:

In order to find the slope of this line, it needs to be converted from standard form into slope-intercept form. To do this solve for "y".

y-x=2

y=x+2

The slope is the number in front of the "x" which in this case is 1

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Example Question #294 : Equations Of Lines

Find the slope of the following line:

7x-y=-2

Possible Answers:

$\frac{2}{7}$

Correct answer:

Explanation:

In order to find the slope of this line, it needs to be converted from standard form into slope-intercept form. To do this solve for "y".

7x-y=-2

-y=-7x-2

y=7x+2

The slope is the number in front of the "x" which in this case is 7

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Algebra 1 : Functions and Lines

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #121 : How To Find Slope Of A Line

Example Question #126 : How To Find Slope Of A Line

Example Question #127 : How To Find Slope Of A Line

Example Question #121 : How To Find Slope Of A Line

Example Question #121 : How To Find Slope Of A Line

Example Question #121 : How To Find Slope Of A Line

Example Question #291 : Equations Of Lines

Example Question #292 : Equations Of Lines

Example Question #293 : Equations Of Lines

Example Question #294 : Equations Of Lines

All Algebra 1 Resources

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