2.4 Graphing Linear Equation

Sept 4, 2013

Y-intercept a point where a graph intersects the y-axis

Vocabulary

equation written in the form Ax + By = C where A and B are not both zero

Slope-Intercept Form

equation written in the form y = mx + b where m is the slope and b is the y-intercept.

X-Intercept a point where a graph intersects the x-axis

Standard Form

Graphing Equations in Slope-Intercept Form

Step 1: Using b, plot (0, b) on the graph.

Step 2: From (0, b), plot the 2nd point using the slope

(rise/run).

Step 3: Draw a line through the two points .

Graph

Example 1

1. Plot y-intercept (0, 3).2. From there rise 2 units and go

right 3 unit. Place a point. or Go down 2 units, go left 3 units. 3. Connect 2 points with a line

bm

33

2 xy

Graph 2y x –= –

Example 2

1. Plot y-intercept (b) (0, -2)2. From there rise 1 unit and go

left 1 unit. or Go down 1 unit, go right 1 unit. 3. Connect 2 points with a line

b(-1) m

Checkpoint

Graph the equation.

1. =2

1y x

Extra Examples

Checkpoint

Graph the equation.

2. 2y 3x +=–

Use Slope-Intercept Form to Graph a Line

Checkpoint

Graph the equation.

3.

Use Slope-Intercept Form to Graph a Line

𝒚=−𝟑𝟒𝒙+𝟓

Homework

WS 2.4