# Worksheet: Calculating the Slope of a Line

### Before you start!

Their are several examples showing how to use a formula to calculate the slope of a line here. You may wish to work through these with your children before working on this worksheet.

Note: This worksheet has two pages and you might want to print only one.

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## Calculating Slope (page 1 of 2)

Name:______________________

Calculate the slope of each the lines using the XY coordinates of the given two points. Slope =

(11 – 5)/ (10 – 3)
= 6/7
= 0.86 Slope =

(6 – 2)/ (10 – 2)
= 4/8
= 0.5 Slope =

(7 – (-3))/ (-5 – 5)
= 10/-10
= -1 Slope =

(5 – (-1))/ (-7 – 5)
= 6/-12
= -0.5

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## Calculating Slope (page 2 of 2)

Name:______________________

Calculate the slope of the straight line between each set of two points. Slope =

(7 – 4)/ (3 – (-6))
= 3/9
= 0.33 Slope =

(2 – (-8))/ (0 – (-4))
= 10/4
= 2.5

Calculate the slope of the straight line between each set of two points.

 (X1,Y1) (X2,Y2) Slope (1,1) (4,7) (7 – 1)/ (4 – 1) = 6/3 = 2 (1,8) (3,0) (0 – 8)/ (3 – 1) = -8/2 = -4 (-3,-8) (0,-2) (-2 – (-8))/ (0 – (-3)) = 6/3 = 2 (-8,-3) (4,-6) (-6 – (-3))/ (4 – (-8)) = -3/12 = -0.25

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## Related Resources

The various resources listed below are aligned to the same standard, (8EE06) taken from the CCSM (Common Core Standards For Mathematics) as the Expressions and equations Worksheet shown above.

Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.

### Worksheet

Similar to the above listing, the resources below are aligned to related standards in the Common Core For Mathematics that together support the following learning outcome:

Understand the connections between proportional relationships, lines, and linear equations