2.2: Graphing a linear equation

An equation for which the graph is a line Linear Equation An equation for which the graph is a line

Any ordered pair of numbers that makes a linear equation true. Solution Any ordered pair of numbers that makes a linear equation true. (9,0) IS ONE SOLUTION FOR Y = X - 9

Linear Equation Example: y = x + 3

Graphing Using the 3 point method Step 1:

Find solutions using table Step 2: Find solutions using table y = x + 3 X | y 1 2

Graph the points from the table Step 3: Graph the points from the table (0,3) (1,4) (2,5)

Step 4: Draw a line to connect them

Graph using a table (3 point method) Try These Graph using a table (3 point method) 1) y = x + 3 2) y = x - 4

Graph using a table (3 point method) Try These Graph using a table (3 point method) 3) y = 1/3x – 2 4) 2x + 4y = 8

Find and graph the x and y intercepts and connect the two points Graphing Using the intercept method Find and graph the x and y intercepts and connect the two points

Step 1:

Step 2:

Step 3:

Step 4: Connect the points to make a line

Graph using intercept method Try These Graph using intercept method 1) y = x + 3 2) y = x - 4

Graph using the intercept method Try These Graph using the intercept method 3) y = 1/3x – 2 4) 2x + 4y = 8

Slope Intercept method This method only works if the equation is in slope-intercept form

Slope Intercept method This method only works if the equation is in slope-intercept form

Slope-Intercept y = mx + b m = slope b = y-intercept

Step 1:

Step 2:

Step 3:

Step 4:

Step 5:

Graph using slope intercept method Try These Graph using slope intercept method 1) y = x + 3 2) y = x - 4

Graph using slope-intercept method Try These Graph using slope-intercept method 3) y = 1/3x – 2 4) 2x + 4y = 8