1. Standard and Slope-Intercept Form
Standard Form: ax + by = c
Both variables go on one side, and the constant goes on the other.
Slope-Intercept Form: y = mx + b
The equation is solved for y. (This form makes it easy to see the slope and y-intercept.)
y = mx + b
slope
y-intercept

2. Graphing Slope Intercept Form
y = 2/3 * x + 1
Graph the y-intercept.

3. Graphing Slope Intercept Form
y = 2/3 * x + 1
Graph the y-intercept.
Use the slope to count the “rise” and “run” to get the next point.

4. Graphing Slope Intercept Form
y = 2/3 * x + 1
Graph the y-intercept.
Use the slope to count the “rise” and “run” to get the next point.
Draw the line connecting the two points.

5. Graphing Standard Form
Intercept Way– set x = 0, then set y = 0
4x + 3y = 12
Set x = 0, then solve for the corresponding y value. Graph the point. x y 4

6. Graphing Standard Form
Intercept Way– set x = 0, then set y = 0
4x + 3y = 12
Set x = 0, then solve for the corresponding y value. Graph the point.
Set y = 0, then solve for the corresponding x value. Graph the point. x y 4 3

7. Graphing Standard Form
Intercept Way– set x = 0, then set y = 0
4x + 3y = 12
Set x = 0, then solve for the corresponding y value. Graph the point.
Set y = 0, then solve for the corresponding x value. Graph the point.
Draw the line connecting the two points. x y 4 3

8. Graphing Standard Form
Slope Intercept Way– solve the formula for y to change it into slope intercept form
2x – 3y = 12

9. Graphing Standard Form
Slope Intercept Way– solve the formula for y to change it into slope intercept form
2x – 3y = 12
-2x
-2x

10. Graphing Standard Form
Slope Intercept Way– solve the formula for y to change it into slope intercept form
2x – 3y = 12
-2x
-2x
-3y = -2x + 12

11. Graphing Standard Form
Slope Intercept Way– solve the formula for y to change it into slope intercept form
2x – 3y = 12
-2x
-2x
-3y = -2x + 12 -3 -3 -3

12. Graphing Standard Form
Slope Intercept Way– solve the formula for y to change it into slope intercept form
2x – 3y = 12
-2x
-2x
-3y = -2x + 12 -3 -3 -3
y = -2/-3 * x – 4
y = 2/3 * x – 4
Now graph the line like usual.

13. Practice Graph the line by first converting to slope-intercept form.
4x + 2y = 8

14. Practice Graph the line using the x- and y-intercept method.
2x – 3y = 6