Problem Set

Slope of a Linear Function


HIDE SOLUTIONS

1. Find the slope of the following line:

            y = 3x

            Answer:  slope is 3.

2. Find the slope of the following line:

            5y – 3x  = 4

            Answer: slope is 3/5

            Solution

            Rewrite in the form y  =  a  +  bx

           

3. Find the slope of the line segment connecting the following points:

            (3,-1) and (-2,5)

            Answer:  slope is –1.20

            x1  =  3              y1  =  1

            x2  =  - 2            y2  =  5

           

           

4. Find the slope of the line segment connecting the following points:

            (-1,-1) and (1,3)

            Answer:  slope is 2

            x1  =  -1             y1  =  -1

            x2  =   1             y2  =  3

           

           

5. Find the slope of the line segment connecting the following points:

            (-4,2) and (1,2)

            Answer:  slope is 0.  The line is horizontal.

            x1  =  -4             y1  =  2

            x2  =   1             y2  =  2

           

           

           

 

6. Find the slope of the line segment connecting the following points:

            (-3,3) and (-3,-2)

            Answer:  slope is infinite.  The line is vertical.

            x1  =  -3             y1  =  3

            x2  =   -3            y2  =  -2

           

           

           

 

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