Download Graph Linear Equations Do Now Find the slope of each graph: 1. 2

Graph Linear Equations
Do Now
Find the slope of each graph:
1.
2.
Intercepts
The place where a graph crosses over the x-axis is known as a x-intercept.
Likewise, the place where a graph crosses over the y-axis is known as a y-intercept.
Identify the x- and y-intercepts in the Do-Now graphs.
Graph an Equation
A linear equation can be written in slope-intercept form y = mx + b where m = slope
and b is the y-intercept.
Example: Find the slope and y-intercepts for the equations provided. Then graph the
equation.
y = 2x + 1
1
y = 3𝑥 – 3
y = -2x + 1
Graph Linear Equations
Exercise: Graph a line with the information provided. Then state the equation of the
line.
1. m = 1 and (-4, 2)
Equation:
2
3
2.
m = − and (-2, 1)
Equation:
3.
m = 3 and (2, 3)
Equation:
2
Graph Linear Equations
Notice that a linear equation in the slope-intercept form has a ‘y’ all by itself!
Sometimes an equation needs to be rearranged so that we can reveal the true slope and
y-intercept. Just like solving literal equations, keep your eye on the prize…get y by itself.
Example: 2y + 3x = 8
Exercise: For each of the following, rearrange into y = mx + b form and then graph.
4. x + y = 4
5.
x + 2y = 8
6. 3x – 4y = -4
7.
3y – 2x = -6
8. y = 4(x + 10)
Graph Linear Equations
Check points
Sometimes a point won’t fit on the graph before you, but that doesn’t mean they don’t
lie on the line (it does extend forever in both directions). Determine which points would
1
lie on the line 𝑦 = 2 𝑥 − 1 and which do not.
(30, 14)
(70, 28)
(-30, -15)
(-50, -26)
Exercise: Circle all the ordered pairs (x, y) that are solutions to the provided equation.
9. 4x – y = 10
(3, 2)
(2, 3)
(-1, -14)
(6, 0)
(1, -6)
Applications
Gia had 25 songs in a playlist composed of songs from her two favorite artists, Beyonce
and Jennifer Lopez. How many songs did she have by each on
in the playlist?
Equation:
List three solutions:
Exercise: Write an equation for each situation then graph it.
10. The sum of two numbers is 25. What are the numbers
Graph Linear Equations
Name: ___________________________________
Algebra I CC
Date: ______
Exit Ticket
1
Consider the linear equation y = 3x – 1.
1. State the slope and y-intercept of this line.
2. Use the slope and the y-intercept to graph the line.
Name: ___________________________________
Algebra I CC
1
Consider the linear equation y = 3x – 1.
1. State the slope and y-intercept of this line.
2. Use the slope and the y-intercept to graph the line.
Date: ______
Exit Ticket
Graph Linear Equations
Name: ___________________________________
Algebra I CC
Date: ______
HW #22
Lesson Summary
An ordered pair is a solution to a two variable equation when each number substituted into its
corresponding variable makes the equation a true number sentence. All of the solutions to a two variable
equation are called a solution set.
Directions: Graph the following linear equations. Be sure to state both the slope and yintercept.
1. y = − 3x + 3
4
2. 2y = x
3. 2x + y = 4
4. 3y + 12 = 2x
Graph Linear Equations
Review:
5. Solve for x: x4 – 1 = 15