Objective:

To graph linear equations using a table of values.

Vocabulary:

Notes:

Construct a table with three columns labeled x, y, and whatever the equation is. You will be choosing numbers to put in the x column.   Things to consider when picking these x values are:

Examples:

1.   Sketch the graph of y = −2x + 4.

Ex 1Construct the table with three columns: x, y, and y = −2x + 4. 

Fill in the x column with the values your chosen (I chose −3, 0, and 3).

Ex 1Find the corresponding y-values by substituting each x-value into the equation and solving.  Make sure to show each and every step. Write your answers in the y-column.

Now that the table is complete plot the points for the solutions you found.  For this example the points are  (−3,−2), (0,4), and (3,10).

The points should create a straight line.  If they don't you've made an error.

When they line up, use a straight-edge to draw the line through them.

Add arrows and label the line.


2.   Sketch the graph of y = ½x −3.

Ex 2 Construct the table with three columns; x, y, and y = ½x −3
Fill in the x column with the values your chosen (I chose −4, 0, and 4 because they are multiples of the denominator of the coefficient of x (multiples of 2)).

Find the corresponding y-values by substituting each x-value into the equation and solving. Ex 2 Make sure to show each and every step. Write your answers in the y-column.

Now that the table is complete plot the points for the solutions you found.  For this example the points are  (−4, −5), (0,−3), and (4,−1).

The points should create a straight line.  If they don't you've made an error.

When they line up, use a straight-edge to draw the line through them.

Add arrows and label the line.


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This page was last updated on 08/09/13.