1. STANDARD EQUATION OF A LINE: Ax + By = C
SLOPE-INTERCEPT FORM: y = mx + b
b = y-intercept
m = slope
Rewriting a standard equation in slope-intercept form is just simple algebra… add/subtract this to both sides, divide by that. Basically, solve for y.

2. Rewrite in slope-intercept form: 3x + 2y = 4
Get y on one side of the equation by moving –3x to the other side.
4 and –3 change places.
Divide by 2.
4. Simplify.
3x + 2y = 4
– 3x = 4 – 3x
2y = –3x + 4
y = –3x + 2 2

3. YOUR TURN!!
Ex 1) Rewrite in slope-intercept form: 2x – 3y = 6
Ex 2) Rewrite in slope-intercept form: 3y + 2x = 3
Ex 3) Rewrite in slope-intercept form: x + 2y = 4
(Answers on the last slide.)

4. ANSWERS!!
Ex 1) 2x – 3y = 6
Ex 2) 3y + 2x = 3
2x – 3y = 6
–2x = 6 – 2x
–3y = –2x + 6
–3 –3 –3
y = 2x – 2 3
y = –2x + 1 3
Ex 3) x + 2y = 4
y = –1x + 2 2