Alg1ACP - Point Slope Review

Point Slope Review

Algebra 1 ACP

Multiple Choice

Which of the following is the correct equation for point slope form?

•  $y=m\left(x-x_1\right)-y_1$  

•  $y=m\left(x-y_1\right)+x_1$  

•  $y=m\left(x-x_1\right)+y_1$  

•  $y=m\left(x+y_1\right)-x_1$  

Multiple Choice

What is one thing you need to remember for point slope form?

• Flip the sign on $x_1$

• Flip the sign on $y_1$

• Y-intercept is when $x=0$

• Slope is $\frac{run}{rise}$

Point Slope Form

 $y=m\left(x-x_1\right)+y_1$  

*Remember to FLIP THE SIGN on the X1

Practice with Delta Questions!

All of these questions came from your Delta Assignment

Multiple Choice

• $y=-\frac{2}{3}\left(x+6\right)+4$

• $y=-\frac{2}{3}\left(x-6\right)+4$

• $y=-\frac{2}{3}\left(x+4\right)+6$

• $y=-\frac{2}{3}\left(x-4\right)+6$

Multiple Choice

• Step 1: Graph the slope

• Step 1: Graph the point (-4,1)

• Step 1: Graph the point (4,1)

• Step 1: Graph the point (1,-4)

Multiple Choice

• Step 2: Go up 2 right 1 to find another point

• Step 2: Go down 2 right 1 to find another point

• Go up 1 right 2 to find another point

Multiple Choice

• Step 3: Draw the line

• Step 3: There is no step 3

Multiple Choice

• Slope = -6/5

• Slope = -5/6

• Slope = 2/1

• Slope = 1/2

Multiple Select

• $y=\frac{1}{2}\left(x+4\right)-6$

• $y=\frac{1}{2}\left(x-4\right)-6$

• $y=\frac{1}{2}\left(x+8\right)-4$

• $y=\frac{1}{2}\left(x-8\right)-4$

Open Ended

Describe how you would solve this problem.

Graph the line that passes through the points (0,-5) and (-5,-6) and determine the equation of the line.

1. Graph the 2 points

2. Draw the line

3. Find the slope

4. Write the equation in point slope form

Graph looks like this

Slope is

 $\frac{up\ 1}{right\ 5}=\frac{1}{5}$  

Write the equation in Point Slope Form

* Points at (0,-5) and (-5,-6)

* Slope of $\frac{1}{5}$  

* Equation can be either

 $y=\frac{1}{5}\left(x+5\right)-6$  
OR
 $y=\frac{1}{5}\left(x+0\right)-5$  -->  $y=\frac{1}{5}x-5$  

Poll

How are you feeling about point slope?

• Ready to go!

• alright

• SOS I'm soooo lost

Open Ended

What questions do you have about point slope form?