1. Quick Review: Slope is… Positive Slope: Negative Slope:
Steepness of a line, m, rise, change in y, common difference
run change in x
Positive Slope: Negative Slope:
Zero Slope: Undefined Slope:

2. SOLVING FOR Y AND PUTTING EQUATIONS INTO Slope - Intercept Form
Chapter 12-3

3. CONCEPT: Any linear equation can be graphed on a coordinate plane.
In order to be able to graph the equation, it has to be set up properly.
Doctor / surgery
Driving
Vacation
The ONLY way to graph an equation is from slope-intercept form.

4. y = mx + b **Slope-intercept form: y = mx + b m is the slope and
b is the y-intercept.
m and b are place holders for numbers. In slope-int. form, m & b will be numbers
y = mx + b
Slope
y-intercept

5. y = 6x + 2
y = − 2 3 x - 5

6. Slope-intercept form is how you need an equation to be so that you can EASILY graph it.
Standard form is another way of seeing a linear equation, but you can’t graph it – you would have to put it into slope-intercept form.

7. To put any linear equation into slope-intercept form, you have to use inverse operations to solve for y.

8. Let’s put this equation in slope-intercept form:
5y = 3x

9. 2x + 3y = -12

10. 3y = 4x + 15

11. You must always have y, m, x, and b
You must always have y, m, x, and b. This means that if an equation says y=mx, you assume that b is 0 (and add 0). y = mx + 0

12. Change to slope-intercept form:
4x + 3y = 9

13. -5x – 9x = 4y – 4
-6y – 2x = 8
7y – 7x = -4
1y – 3x = 4