## Objective:

**To graph linear equations using a table of values.**

## Vocabulary:

**Coefficient**- the number part of a term (the number directly in front of the variable)**Plot**- to graph on a coordinate plane. (Remember: To plot you*Run and Jump*.**Straight Edge**- Something with a straight edge, such as a ruler, protractor, identification card, etc.

## 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:- If the equation has y by itself (ie. y = __x + __)...
- if the coefficient of x is a fraction then choose multiples of its denominator for your x values.
- Ex: The fraction is ¾ then use any of −8, −4, 0, 4, 8

- if the coefficient of x is not a fraction then choose any x you want. I like using −3, 0, and 3.

- if the coefficient of x is a fraction then choose multiples of its denominator for your x values.
- If the equation is in standard form (ie. Ax + By = C) ...
- If B ≠ 1 then use multiples of B for your x values.
- Ex: B = 5, then use any of −10, −5, 0, 5, 10

- If B is 1 then use any x value you want. I like using −3, 0, and 3.

- If B ≠ 1 then use multiples of B for your x values.

## Examples:

1. Sketch the graph of y = −2x + 4.Construct 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).

Find 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.

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. 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.