1. Standard Form to
Slope-Intercept Form

2. Review One-Step Equations
x – 7 = 12
5n = 35
x = 19
n = 7
= 3
20 + h = 41
h = 21
c = 24
We can simply work the operation backwards in our head to get the answer.

3. Multi-step equations
When and equation has more than one operation you still have to isolate the variable by doing the following:
Make sure variable terms are all on one side, and constant terms are on the other.
Simplify
Divide by the coefficient of the variable.

4. How would we solve 3x + 5 = 12?
3x = 12
1. Subtract 6 from both sides
3x = 6
2. Divide by 3
x=3

5. Let’s try some more equations
Remember, we have to keep the equations balanced!
Solve:
8m – 10 = 36
8m – =
8m = 46
m =
w = 84

6. Standard Form: Ax + By = C Slope Intercept Form: y = mx + b
Linear Equations
Standard Form: Ax + By = C Slope Intercept Form: y = mx + b

7. Standard Form to Slope-Intercept
We can put an equation that is in standard form into y-intercept form by using our knowledge from 2-step equations!
**Get the y-variable by itself**
(Solve for y)

8. Standard Form to Slope-Intercept
Isolate the y-variable:
Add or Subtract the x term.
Divide all terms by the coefficient of y.

9. Example 1 Put the equation 2x + y = 4 in slope-intercept form.
1. Subtract 2x to both sides.
2x + y = 4
-2x -2x
y = 4 – 2x
y is by itself! You are done
**Write as y = -2x + 4

10. Example 2 Put the equation 8x + 4y = 12 in slope-intercept form.
Subtract 8x from both sides
8x + 4y = 12
-8x -8x
4y = 12 – 8x
2. Divide by 4 to ALL TERMS
4y = x
y = 3 – 2x write as y = -2x + 3

11. Example 3 -5 Write as y = -x/5 - 6
Put the equation –x – 5y = 30 in slope-intercept form.
Add the x to both sides
–x – 5y = 30
+x +x
-5y = 30 + x
2. Divide by -5 to ALL TERMS -5
y = -6 + x
-5 Write as y = -x/5 - 6