3.02 Slopes of Lines

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Slope of a Line Practice

Practice Problem #1

Find the slope between the points (-4, 1), (0, -2)

Start by substituting in the values given.

Practice Problem #2

Find the slope between the points (0, -2), (-3, -8)

Start by substituting in the values given.

m = 2

Practice Problem #3

If you were traveling from left to right on a line and you said you were going downhill would the slope be positive or negative?

Answer: negative

Practice Problem #4

Write the equation 3x + y = 8 in slope intercept form.

What can you do to isolate the y variable?

-3x + 3x + y = 8 -3x

Rearrange the right side of the equation so the x term is listed first.

y = -3x + 8

What is m? Answer: -3

What are the coordinates of the y intercept? (0, 8)

Practice Problem #5

the equation -5x - 2y = 2 in slope intercept form.

What can you do to isolate the y variable?

-5x - 5x - 2y = 2 + 5x

Rearrange the right side of the equation so the x term is listed first.

-2y = 5x + 2

We ned to get the y term so that it has ano coefficient. What should you do?

What is m? Answer:

What are the coordinates of the y intercept? (0, -1)

Practice Problem #6

Calculate the slope between the two points. (-3, -2) and (-1, -1)

Choose from these answers:

1. 
2. 
3. 
4. 

Answer: a.

Practice Problem #7

Identify the general description of the line with given slope. A line with a slope of 0 is ___.

Choose from these answers:

1. uphill (moving left to right)
2. downhill (moving left to right)
3. horizontal
4. vertical

Answer: c. horizontal

Practice Problem #8

Identify the general description of the line with given slope. A line with a negative slope is ___.

Choose from these answers:

1. uphill (moving left to right)
2. downhill (moving left to right)
3. horizontal
4. vertical

Answer: b. downhill (moving left to right)

Practice Problem #9

Determine the slope of the line of each linear equation. 9x –3y = 4

Choose from these answers:

1. 3
2. 1
3. 
4. 

Answer: a. 3

Practice Problem #10

Calculate the slope between the two points. (-2, 0) and (5, -1)

Choose from these answers:

1. 2
2. 7
3. 
4. 

Answer: d.