1. Slope Intercept Form Getting the equation into the proper form!

2. For example in the equation; y = 3x + 6 m = 3, so the slope is 3 b = +6, so the y-intercept is +6 Let’s look at another: y = 4/5x -7 m = 4/5, so the slope is 4/5 b = -7, so the y-intercept is -7 Please note that in the slope-intercept formula; y = mx + b the “y” term is all by itself on the left side of the equation. That is very important!

3. WHY? If the “y” is not all by itself, then we must first use the rules of algebra to isolate the “y” term. For example in the equation: 2y = 8x + 10 You will notice that in order to get “y” all by itself we have to divide both sides by 2. After you have done that, the equation becomes: Y = 4x + 5 Only then can we determine the slope (4), and the y- intercept (+5)

4. Write these equations in slope-intercept form. Can ’ t add or sub these. Why? They are not Like Terms  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) 1.

5. 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) Can ’ t add or sub these. Why? They are not Like Terms 2.

6.  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) Put in Slope-Intercept Form - Solve for “ y ” 3.

7. Using slope-intercept form to write equations, Rewrite the equation solving for y = to determine the slope and y-intercept. 3x – y = 14 -y = -3x + 14 -1 -1 -1 y = 3x – 14 or 3x – y = 14 3x = y + 14 3x – 14 = y x + 2y = 8 2y = -x + 8 2 2 2 y = -1x + 4 2

8. Get y by itself!. 1)x – y = 5 2)2x + 3y = 12 3)4x = 12 + 3y 4)2x + y = 7 5) 2y = 20 – 4x

9. Write each equation in slope-intercept form. Identify the slope and y-intercept. 2x + y = 10 -4x + y = 6 4x + 3y = 9 2x + y = 3 5y = 3x