Writing equations in Standard Form

Writing equations in Standard Form

Ax+By = C

LETS REVIEW:

Slope Intercept Form

Multiple Choice

What is the form of an equation that is in slope intercept form?

• Ax + By = C

• y=mx + b

Multiple Choice

When solving 3x + 2y = 12 for y, to put it into slope intercept form, what will you do first?

• Add 3 to both sides

• Subtract 3 from both sides

• Add 3x to both sides

• Subtract 3x from both sides

Multiple Choice

When solving 2x + 5y = 15 for y, to put it into slope intercept form, what is the 1st step?

• Add 2 to both sides

• Subtract 2 from both sides

• Add 2x to both sides

• Subtract 2x from both sides

Multiple Choice

Solve for y (slope intercept form): 

                      2x + 3y = 12

• y= 6x + 2

• $y\ =\ -\frac{2}{3}x\ +4$

• $y\ =\ -\frac{3}{2}x\ +\ 4$

• y = 2x + 6

Multiple Choice

Lets try another one:

Solve for y:

                     15x + 5y = 25

• $y\ =\ 15x\ -\ 5$

• $y\ =\ -5x\ +\ 15$

• $y\ =\ -3x\ +5$

Multiple Choice

Try again:

Solve 15x +3y = 12 for slope intercept form (solve for y)

• $y\ =\ -5x\ +4$

• $y\ =\ 4x\ +5$

• $y\ =\ -5x\ +\ 3$

Now, Let look at Standard Form

Ax + By = C

Standard Form of an equation

• Ax + By = C

• "A" can NOT be negative

• (x,y) are the ordered pairs that make up ALL the solution to this equation.

• There can me NO fractions

Multiple Choice

What is the correct Form for standard form?

• y =mx + b

• y- y = m(x -x)

• Ax + By = C

Multiple Select

The number with the x CAN NOT be …

• Fractions

• Large

• Negative

• Positive

Poll

Do you think this problem is done and correctly put into Standard form at this point?

• YES

• NO

Poll

What else do I need to do? What do you think is wrong with the problem? (Select all that apply)

• Can't have negatives with the x

• Can't have fractions

Lets Practice putting equations into

Standard From (Ax + By = C)

Multiple Choice

Put the following equation into standard form.  $y=\frac{1}{2}x\ +\ 5$  

• 2x + 5y = 10

• x - 2y = -10

Multiple Choice

Put the following equation into Standard Form:

y = -2x + 6

• 2x + y = 6

• 6+y = -2x

• y = 6-2x

• 3y + 2x = 12

Multiple Choice

Put the following equation into standard form: $y\ =\ -\frac{1}{3}x\ -\ 6$  
       

•  $\frac{1}{3}x\ +\ y\ =\ -6$  

• -3x + y = 18

• x -3y = 18

• x + 3y = -18

Multiple Choice

 $y\ =\ 6x\ +\ 7$  

Put the following Equation into Standard From:

• 6x - y = -7

• -6x + y = 7

• 6x = -y + 7