Standard Form to Slope Intercept Form

Standard Form to Slope Intercept Form

Multiple Choice

Which equation is in standard form?

• y = mx + b

• $y-y_1=m\left(x-x_1\right)$

• Ax + By = C

• $m=\frac{y_2-y_1}{x_2-x_1}$

To change from Standard Form to Slope Intercept Form, you solve the equation for y.

• First, add or subtract the "x" term.

• Second, divide by the coefficient (number in front of) y.

• Finally, simplify if you can.

Write 3x + 2y = 6 in slope intercept form

First, subtract 3x from both sides.
2y = -3x + 6
Second, divide everything by 2

 $y=-\frac{3}{2}x\ +\ 3$  

Multiple Choice

What is the first thing you would do to write 2x - y = 7 in slope intercept form?

• Add y to both sides

• Subtract 2x from both sides

• Divide both sides by 2

• Subtract 7 from both sides

You would subtract the 2x first

So, -y = -2x + 7 (Don't forget the negative in front of the y needs to come with it!)

Next, you would need to divide by the negative 1.

Multiple Choice

What is the resulting equation? (Remember you had -y = -2x + 7)

• y = 2x + 7

• y = -2x - 7

• y = 2x - 7

• y = 2x + 8

Multiple Choice

Which equation represents 4x - 2y = 6 in slope intercept form.

• y = 2x - 3

• y = -2x + 3

• 
  

  $y\ =\ \frac{1}{2}x\ -\ 3$

• y = 2x + 8

What would happen with x + 3y = -9

• First, subtract x. 3y = -x - 9

• Then, divide everything by 3.

•  $\frac{3y}{3}=-\frac{x}{3}-\frac{9}{3}$  

•    $y=-\frac{1}{3}x-\ 3$  

Multiple Choice

Write x + 5y = 10 in slope intercept form.

• $y=-5x\ +\ 2$

• $y\ =\ -\frac{1}{5}x\ +\ 5$

• $y\ =\ 5x\ +\ 2$

• $y\ =\ -\frac{1}{5}x\ +\ 2$

Multiple Choice

Write x + y = 3 in slope intercept form.

• y = x + 3

• y = -3x

• y = -x + 3

• y = -x - 3

Let's try:                 - 3x + 2y = 8

• This time we would add the 3x since it is negative to start

• 2y = 3x + 8

• Then divide everything by 2

•  $y\ =\ \frac{3}{2}x\ +\ 4$  

Multiple Choice

Which represents  -2x - 3y = 12 in slope intercept form.

• $y\ =\ -\frac{2}{3}x\ -\ 4$

• $y\ =\ \frac{2}{3}x\ -\ 4$

• $y\ =\ -\frac{2}{3}x\ +\ 4$

• $y\ =\ \frac{2}{3}x\ +\ 4$

Multiple Choice

Last one, which represents -x - y = 0 in slope intercept form?

• y = x

• y = -x

• y = 0

• y = x + 1