STANDARD EQUATION OF A LINE: Ax + By = C

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Presentation transcript:

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.

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 2 2 2 y = –3x + 2 2

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.)

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