1. Graphing Linear Equations Using Slope-Intercept Form
Objective
Students graph linear equations on a coordinate plane by using the slope-intercept form of a linear equation.
Standard
7.0 Students verify that a point lies on a line, given an equation of the line. Students are able to derive linear equations by using the point-slope formula.
© Eugene Ruben Ramirez

2. Vocabulary slope y-intercept Slope-intercept Form:
An equation is in slope intercept form if it is solved for y
and the constant is the second term on the right.
slope
y-intercept
Recall:
y-intercept:
The point at which the graph crosses the y-axis.
© Eugene Ruben Ramirez

3. Identify Slope and y-intercept
Example 1: Find the slope and y-intercept of each equation.
© Eugene Ruben Ramirez

4. Identify Slope and y-intercept
Practice 1: Find the slope and y-intercept of each equation.
© Eugene Ruben Ramirez

5. Graphing Using Slope Intercept Form y=mx+b
Is equation in
y=mx+b
form?
Use Inverse
Operations to
solve for y No
Plot y-intercept
(0,b)
Yes
Equation should
look like
y=mx+b
Use
to find next point
Draw a Line
Through the
Points
© Eugene Ruben Ramirez

6. Example 1: Graph -3 y-intercept= What is the y-intercept?
Is equation in
y=mx+b
form?
What is the slope?
How do we write it as a fraction?
Plot y-intercept
(0,b)
Yes x y
Use
to find next point 1
Draw a Line
Through the
Points 4

7. Practice 1: Graph 1 y-intercept= What is the y-intercept?
Is equation in
y=mx+b
form?
y-intercept= 1
What is the y-intercept?
Plot y-intercept
(0,b)
Yes
What is the slope? x y
Use
to find next point 3 2
Draw a Line
Through the
Points

8. Practice 2: Graph -3 y-intercept= What is the y-intercept?
Is equation in
y=mx+b
form?
y-intercept= -3
What is the y-intercept?
What is the slope?
Plot y-intercept
(0,b)
Yes
The negative is in the front, we need
to choose if it goes with the
numerator or denominator,
but NOT BOTH. x y
Use
to find next point
Draw a Line
Through the
Points -3 5

9. Practice 3: Graph -4 y-intercept= What is the y-intercept?
Is equation in
y=mx+b
form?
y-intercept= -4
What is the y-intercept?
What is the slope?
Plot y-intercept
(0,b)
Yes
The negative is in the front,
we need to choose if it goes
with the numerator or denominator,
but NOT BOTH. x y
Use
to find next point -2
Draw a Line
Through the
Points 7