1. Graphing Linear Equations

2. y = mx + b slope y-intercept
You know slope intercept form is given by the following formula:
y = mx + b
slope
y-intercept

3. y = mx + b 1) y = 3x + 4 2) y = ⅔x – 3 3) y = -5 + 8x slope
Find the slope and y-intercept of each of the following linear equations:
slope
y = mx + b
y-intercept
1) y = 3x ) y = ⅔x – 3 3) y = x

4. slope
y = mx + b
y-intercept
The y – intercept tells us where to start on the y axis. What is the y-intercept of this equation?
right 1
up 2
right 1
up 2
The slope tells us where to go!
m =
What is the slope of this equation?
rise
run

5. Great job!
Remember, the steps for graphing a linear equation are:
Use b, the y-intercept, to find your starting place.
Use m, the slope, to make your line.
m = m =
rise
run

6. slope
y = mx + b
y-intercept
The y – intercept tells us where to start on the y axis. What is the y-intercept of this equation?
The slope tells us where to go!
m =
What is the slope of this equation?
rise
run
down 1
down 1
right 1
right 1

7. slope
y = mx + b
y-intercept
The y – intercept tells us where to start on the y axis. What is the y-intercept of this equation?
right 2
up 3
The slope tells us where to go!
m =
What is the slope of this equation?
right 2
up 3
rise
run

8. Writing Linear Equations

9. To write a linear equation, we work backward!
slope
y = mx + b
y-intercept
How do I find the slope and the y-intercept?

10. Let’s start with b, the y-intercept!
Look at where the graph crosses the y axis.
y = mx + ___

11. Now let’s find m, the slope!
Look at where the graph crosses the y axis.
y = ___x + -2
right 1
up 2
rise
run
___
right 1 = =
up 2

12. You did it! rise run Steps for writing a linear equation:
Look where the line starts on the y axis to find the y-intercept, b.
2) Find the and simplify to find the slope, m.
rise
run

13. Write an equation for the following lines:
y = ___x + ___
y = ___x + ___