11-9-15 slides
11/9/15
Page #
Graphing Linear Equations
in Standard Form
Learning Target: I can graph a linear equation in any form.
Flashback –
1. Explain, in words, how you would graph the linear
1
function: 𝑦 = 𝑥 − 4
2
2. What is the solution set for the equation
−3 = 𝑥 + 11
a.
b. −14, 14
c. −14, −8
d. −14
3. What is the solution of the inequality
4y – 26 > -3
1. Explain, in words, how you would graph
the linear
1
function: 𝑦 = 𝑥 − 4
2
2. What is the solution set for the equation
−3 = 𝑥 + 11
a.
b. −14, 14
c. −14, −8
d. −14
3. What is the solution of the inequality
4y – 26 > -3
Quick write
In 2-3 sentences, explain which equation would be easier to graph
accurately and which would be harder.
A. 2x+3y=6
B. 4x+5y=25
Converting to Slope Int. Form
Standard Form: Ax + By = C
where A, B and C are integers.
Steps: (rewrite it to get it in slope-intercept form)
1. Move x-term to the other side
2. Divide by coefficient on y-term
3. Graph using steps to slope-intercept form.
Example 1: graph the equation
3x + 2y = 6
Example 2: graph the equation
2x – y = 4
Guided Practice: Let’s look at these two
types of linear equations.
1. 2x – 3y = 6
Guided Practice: Let’s look at these two
types of linear equations.
1. 2x – 3y = 6
Example 3: graph the equation
3x – y = 5
Guided Practice: Let’s look at these two
types of linear equations.
1. 2x – 3y = 9
Exit Slip
• Write the following standard equation into slope intercept form and
graph on the provided graph
3x+5y=10