Systems ofLinear Equations

Recalling Prior Knowledge

Recall Prior Knowledge

•Graphing linear equations using a table of values (function table).

Recall Prior Knowledge

• To graph a linear equation, you can first construct a table of x and y values.• For example, you substitute x = 0

in the equation y = 2x + 1 to get the corresponding value of y.

Recall Prior Knowledge

x 0 1 2 3

y = 2x + 1 1 3 5 7

Recall Prior Knowledge

• From the table of values, you plot the pairs of values on a coordinate grid. Then join the points using a straight line to graph the linear equation.

Recall Prior Knowledge

Quick Check•Copy and complete the table of values for the linear equation. Then draw its graph on a coordinate grid.

Quick Check

x 0 1 2 3

y = 5x ? ? ? ?

Quick Check

Recall Prior Knowledge

Graphing linear equations using slopes and y-intercepts.

Recall Prior Knowledge

• You can also graph linear equations by recognizing that linear equations have the form y = mx + b, where m is the slope and b is the y-intercept.• For example, for y = 2x + 1,

the graph has slope 2 and intersects the y-axis at 1.

Recall Prior Knowledge

Quick Check

1.y = 5x2.y = 2x + 23.2y = x – 2

Quick Check

Assignment: Assessing Your Prior Knowledge

You are assigned problems 1 – 19 on page 367 in the red algebra I book. Remember, you can use your notes from previous units as well as the red algebra I book if you need help correctly solving the problems.