6 4 Standard Form What it Looks Like

6 -4 Standard Form

What it Looks Like § An equation in standard form is in the form: Ax + By = C (where A, B and C are integers)

How to Get it There 1. Get rid of any fractions or decimals by multiplying (LCD or a power of 10). 2. Add or subtract the X’s to get them on the same side as the Y’s (if needed). 3. Add or subtract the constant (# only) to get it away from the X’s and Y’s (if needed).

Example #1 § Put into standard form y – 0. 25 = 0. 2 x

Example #1 § Put into standard form 100(y – 0. 25 = 0. 2 x) 100 y

Example #1 § Put into standard form 100(y – 0. 25 = 0. 2 x) 100 y – 25

Example #1 § Put into standard form 100(y = 0. 2 x -. 25) 100 y – 25 =

Example #1 § Put into standard form 100(y = 0. 2 x -. 25) 100 y – 25 = 20 x

Example #1 § Put into standard form 100 y – 25 = 20 x -20 x + 100 y – 25 = 0 +25 -20 x + 100 y = 25

Example #2 § Write in standard form:

Example #2 § Write in standard form:

Example #2 § Write in standard form: 15 y

Example #2 § Write in standard form: 15 y =

Example #2 § Write in standard form: 15 y = 5 x

Example #2 § Write in standard form: 15 y = 5 x + 6 -5 x + 15 y = 6

Finding X and Y Intercepts § To find the x-intercept, substitute “ 0” for y and solve for x. § To find the y-intercept, substitute “ 0” for x and solve for y. 3 x – 2 y = 12 x=4 y = -6

Today’s Assignment § P. 333 #1 -9, 27 -35