1. From Standard Form To Slope-Intercept
Solving Equations for “y”

2. Standard Form Slope-Intercept Ax + By = C y = mx + b
When an equation is in standard form:
x and y are on the same side of the equal sign.
the “A” is positive
there are NO fractions in the problem.
When an equation is in slope-intercept:
“y” is on one side of the equal sign and everything else is on the other side.
To put in slope intercept form means to solve the equation for “y”.

3. The Slope-Intercept Formula
When you solve an equation for “y”
You are putting the equation in “slope-intercept form”

4. We use this formula to WRITE and GRAPH linear equations.
Why do we need this formula?
We use this formula to WRITE and GRAPH linear equations.

5. The Slope-Intercept Formula
“x” and “y” have to be on opposite sides of equation
STEPS TO SOLVE FOR “Y”
Add/Subtract the term that is on the same side of the equation with y
Divide by the number in front
of y

6. Can’t add or sub these. Why?
Write these equations in slope-intercept form.
Can’t add or sub these. Why?
They are not
Like Terms 1.
We want y by itself
Mark it - then
Move the term beside it to the other side (do the opposite + or -)
Move the term in front of y (divide by the number in front of the y)

7. Can’t add or sub these. Why?
Put in Slope-Intercept Form - Solve for “y”
Can’t add or sub these. Why?
They are not
Like Terms 2.
We want y by itself
Mark it - then
Move the term beside it to the other side (do the opposite + or -)
Move the term in front of y (divide by the number in front of the y)

8. Put in Slope-Intercept Form - Solve for “y”
We want y by itself
Mark it - then
Move the term beside it to the other side (do the opposite + or -)
Move the term in front of y (divide by the number in front of the y) 3.

9. Put in Slope-Intercept Form - Solve for “y”
We want y by itself
Mark it - then
Move the term beside it to the other side (do the opposite + or -)
Move the term in front of y (divide by the number in front of the y)
Nothing to move!! So turn it around! 4. 5.

10. Put in Slope-Intercept Form - Solve for “y”
We want y by itself
Mark it - then
Move the term beside it to the other side (do the opposite + or -)
Nothing to move so
Move the term in front of y (divide by the number in front of the y) 6. 7.

11. Now let’s use the formula to WRITE an equation.
Write an equation in slope-intercept form when given the slope and the y-intercept. 8.
m = 3, b = 1
Simply replace the “m” and the “b” in the formula with the numbers and you have an equation.

12. Write an equation in slope-intercept form when given the slope and the y-intercept.
Writing Slope-Intercept Equations - Examples
10.
m = ½ , b = 1 9.
m = -3, b = 5
12.
m = 4, b = -2
11.
m = 0, b = 7