1. Graphing Linear Equations by the slope-intercept method

2. The slope-intercept equation
The slope-intercept equation of a line is
y = mx + b
m is the slope of the line
b is the y-intercept
(where the graph crosses the y-axis)

3. Graph using slope-intercept:
To use the slope-intercept equation of a line,
y = mx + b
we must first solve for y

4. Graph using slope-intercept:
Step 1: Get the 2x to the other side of the equal sign
‘Hop and Swap’
If you cross the equal sign, your sign changes!
Hop across the = and swap your sign!
5y = +2x + 15

5. Graph using slope-intercept:
5y = +2x + 15
Step 2: To isolate the y, we must now
divide both sides of the equation by 5

6. Graph:
In this equation, the slope is
The y-intercept is + 3

7. Graph:
In this equation, the slope is
The y-intercept is + 3

8. The first point we are going to graph is the y-intercept

9. The meaning of slope Remember: slope =
Slope tells us how to get from one point to another on the line.
If rise = and run = 5
It means that if you rise +2 and run +5
you’ll be back on the line

10. Graph:
Up 2
Over 5
(0, 3)

11. A reminder about fractions
These are all equivalent.
Whenever I have a negative fraction, I use the rule:
negative signs float
Keeping the negative with the top means that the top tells you how far up or down
The bottom is always over to the right

12. When asked to graph the equation of a line by the slope-intercept method:
Remember: You must first solve the equation for y so you can use y = mx + b
b is the y-intercept.
m is the slope.
Plot the y-intercept first.
Use the slope ( ) to ‘walk’ to the next point.