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Hotmath
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Hotmath
Chapter: Linear Equations and Inequalities Section: Slope
 

Problem: 1

The slopes of four lines are listed. Tell which of the lines is the steepest.

m = –1, m = –6, m = –4, m = –17/4

 

Problem: 3

Plot the points (4, 3) and (–2, –1). Draw the line passing through both these points. Then find the slope using the rise and run.

 

Problem: 5

Obtain the slope of the line.


Problem: 7

Obtain the slope of the line.


Problem: 9

Obtain the slope of the line.


Problem: 11

Obtain the slope of the line.

 

Problem: 13

Obtain the slope of the line.

 

Problem: 15

Obtain the slope of the line through the pair of points.

R (–3, 4), S (–2, 4)

 

Problem: 17

Obtain the slope of the line through the pair of points.

L (–3, 18), M (3, 4)

 

Problem: 19

Determine the slope of the line that contains the given points.

J (2, –1), K (7, 8)

 

Problem: 21

Determine the slope of the line that contains the given points.

P (4, –5), Q (3, –7)

 

Problem: 23

Determine the slope of the line that contains the given points.

H (2 2 / 3 , 6 1 / 3 ), J (1 2 / 3 , 7)

 

Problem: 25

Plot the points (3, 4) and (0, 4).

Then find the slope of the line through these two points.

 

Problem: 27

Plot the points (–2, –3) and (2, 5).

Then find the slope of the line through these two points.

 

Problem: 29

Plot the points (0, –3) and (–2, –5).

Then find the slope of the line through these two points.

 

Problem: 31

Plot the points (4, 5) and (–5, 2).

Then find the slope of the line through these two points.

 

Problem: 33

Plot the points (–3, –2) and (7, 1) and draw a line through them. Is the slope of the line positive , negative , zero , or undefined ? Explain without calculating.

 

Problem: 35

Plot the points (5, –2) and (1, 6) and draw a line through them. Is the slope of the line positive , negative , zero , or undefined ? Explain without calculating.

 

Problem: 37

Do the points (0, –3), (3/2, 2), and (–1/2, –5/2) lie on a line? Explain.

 

Problem: 39

Find the slope of and the slope of Are the lines parallel? Explain.

A (3, 3), B (1, –2), C (–4, 4), D (–3, –1)

 

Problem: 41

Find the slope of and the slope of Are the lines parallel? Explain.

A (2, 3), B (0, –2), C (4, 3), D (6, 8)

 

Problem: 43

Compute x , if the slope of the line containing the points (6, 2) and ( x , 8) is 3.

 

Problem: 45

Compute y , if the slope of the line containing the points (–5, y ) and (3, 5 y ) is 9.

 

Problem: 47

A jet airplane climbs 19.6ft for every 40 ft it moves horizontally.

Find the slope of the line as a percent.

 

Problem: 49

A line contains points ( a , –b ) and ( b , a ) where a b . Find the slope.