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Hotmath Practice Problems

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Title:
Hotmath Algebra 2
Author:
Hotmath Team
 
Free
Chapter:Linear Relationships and FunctionsSection:Slope of a Line
 

Problem: 1

Find the slope of the line shown.

 

Problem: 3

Find the slope of the line shown.

 

Problem: 5

Calculate the slope of the line passing through the given points and check if the line rises, falls, is horizontal, or is vertical.

(0, –2) (2, 8)

 

Problem: 7

Calculate the slope of the line passing through the given points and check if the line rises, falls, is horizontal, or is vertical.

(–9, –6) (7, –2)

 

Problem: 9

Calculate the slope of the line passing through the given points and check if the line rises, falls, is horizontal, or is vertical.

(3, –9) (–3, 9)

 

Problem: 11

Graph the line passing through the point P(0,3) and having slope, m = 1.

Also find the coordinates of two other points on the line.

 

Problem: 13

Graph the line passing through the point P(4, –2) and having slope, m = –3.

Also find the coordinates of two other points on the line.

 

Problem: 15

Graph the line passing through the point P(3, –4) and slope, m = 1/3.

Also find the coordinates of two other points on the line.

 

Problem: 17

Graph the line passing through the point P(0, 0) and slope, m = 0.75. Also find the coordinates of two other points on the line.

 

Problem: 19

Graph the line passing through the point P(3,2) and slope, m = 0.

Also find the coordinates of two other points on the line.

 

Problem: 21

Find the value of k so that the line, kx – 2y = 5 has a slope of 4.

 

Problem: 23

Find the value of k in the line (k + 4)x – 4y = 3 whose slope is k.

 

Problem: 25

Find the value of k so that the line passing through the points (2k, 1)and (9, k) has slope 3.

 

Problem: 27

Find the value of k so that the lines passing through the points (k + 3, k – 3) and (k, –k) has slope – 2.

 

Problem: 29

Find the value of k so that the lines passing through the points (5, k) and (–3, |k|) has slope –3.

 

Problem: 31

Compare the steepness of the given lines:

Line a passing through (–4, 3) and (2, 5)

Line b passing through (4, –5) and (9, 3)

 

Problem: 33

Compare the steepness of the given lines:

Line a passes through (1, 12) and (–4, –13)

Line b passes through (–3, –18) and (0, –3)

Are these lines parallel? Are they perpendicular?

 

Problem: 35

Compare the steepness of the given lines:

Line a passes through (4, –11) and (19, 2)

Line b passes through (8, 3) and (–10, 9)

Are these lines parallel? Are they perpendicular?

 

Problem: 37

A ramp to provide handicapped people access to a certain building was constructed with a slope of 10%. If the entrance to the building is 5 ft above ground level, how long should the base of the ramp be?

 

Problem: 39

The Leaning Tower of Pisa was 180 feet tall when it was constructed. Assuming that one side of the base has sunk 2 feet into the ground causing the top of the tower to lean 15 feet off–center, approximate the slope of the leaning side of the tower.

 

Problem: 41

Suppose that you are 125 miles away from home at 10:00 A.M. and 425 miles away from home at 4:00 P.M. Work out your average speed.

 

Problem: 43

The peak of a certain volcano is currently 3100 feet below sea level. It is estimated that it will take about 51,000 years before the peak breaks the water. If this holds, what will be the rate of change in the volcano's height?