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Equation of a Line: Plotting and Determining

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This is a 4-page worksheet so be sure to print only the pages you need. You will find illustrated examples with explanations on plotting straight lines and determining their slope based on tables of values and their equation.

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1. (a) Plot the values from the table on to the coordinate grid below.

X -5 -4 -3 -2 -1 0 1 2 3 4 5
Y -10 -8 -6 -4 -2 0 2 4 6 8 10
-10 to 10, Blank XY Cartesian Grid
equation y =2x plotted on cartesian grid

1. (b) Write the linear equation that defines the relationship between the X and Y values in the form y = mx. y = 2x

 

2. (a) Plot the values from the table on to the coordinate grid below.

X -3 -2 -1 0 1 2 3
Y -9 -6 -3 0 3 6 9
-10 to 10, Blank XY Cartesian Grid
equation y =3x plotted on cartesian grid

2. (b) Write the linear equation that defines the relationship between the X and Y values in the form y = mx. y = 3x

 

 

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3. (a) Plot the values from the table on to the coordinate grid below.

X -6 -4 -2 0 2 4 6
Y -9 -6 -3 0 3 6 9
-10 to 10, Blank XY Cartesian Grid
equation y =1.5x plotted on cartesian grid

3. (b) Write the linear equation that defines the relationship between the X and Y values in the form y = mx. y = 1.5x

 

4. (a) Plot the values from the table on to the coordinate grid below.

X -6 -4 -2 0 2 4 6
Y 6 4 2 0 -2 -4 -6
-10 to 10, Blank XY Cartesian Grid
equation y =-x plotted on cartesian grid

4. (b) Write the linear equation that defines the relationship between the X and Y values in the form y = mx. y = -x

 

 

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5. (a) Plot the values from the table on to the coordinate grid below.

X -5 -4 -3 -2 -1 0 1 2 3 4 5
Y 10 8 6 4 2 0 -2 -4 -6 -8 -10
-10 to 10, Blank XY Cartesian Grid
equation y =-2x plotted on cartesian grid

5. (b) Write the linear equation that defines the relationship between the X and Y values in the form y = mx. y = -2x

 

6. Use the equation y = 2.5x to complete the table below and plot the values on to the coordinate grid below.

X -4 -3 -2 -1 0 1 2 3
Y -10 -7.5 -5 -2.5 0 2.5 5 7.5
-10 to 10, Blank XY Cartesian Grid
equation y =2.5x plotted on cartesian grid

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7. Drawn a line from each of the linear equations to the graph and slope that they match.

y = x/2 y = x y = 2x
y = 2x y = x/2 y = x

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An Expressions and Equations Worksheet    -    By HelpingWithMath.com

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.

Example/Guidance

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

 

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