6th Grade Math Textbook, Progress

Slope

m
 
 
 
 2

 6

 3

 1 
 7

 4  1

y 2 
y 1

x 2 x 1

Slope is the measure of steepness of a line.

You can find the slope of a line by

picking two points on the line and finding

the ratio:

slope (m) 
 
 

What is the slope of the line that passes

through the points (1, 7) and (4, 1)?

To find the slope, m, of a line:


Subtract the first y-coordinate from the

second y-coordinate. Write the

difference in the numerator.


Subtract the first x-coordinate from the

second x-coordinate. Write the

difference in the denominator.

So the slope of the line containing (1, 7) and (4, 1) is 2.

Find the slope of the line that passes through the given points.

1. (1, 4) and (5, 8) 2. (2, 0) and (0, 6) 3. (3, 9) and (2, 1)


2. (2, 7) and (2, 5) 5. (3, 2) and (1, 12) 6. (1, 4) and (1, 12)


3. (10, 5) and (2, 3) 8. (9, 2) and (1, 6) 9. (17, 2) and (2, 3)

Find the slope of the line.

Graph each equation and then find the slope.

13. y
     5 x 14. y
     4 x 9 15. y
     2 x 3

rise

run

y 2 
y 1

x 2 x 1

change in y-value

change in x-value

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