Slope Intercept Review (Unit 6)

Finding Slope and Y-Intercept Review (Unit 6)

by Hannah Ward

​Linear and Non-Linear Equations

​See more examples in your notebook!

Multiple Choice

Is the following equation linear or nonlinear?

y = x³- 3

• Linear

• Non Linear

Multiple Choice

Is the following equation linear or nonlinear?

y = 3x+4

• Linear

• Non Linear

Multiple Choice

Is the following graph linear or nonlinear?

• Linear

• Non Linear

Multiple Choice

Is the following graph linear or nonlinear?

• Linear

• Non Linear

Draw

Write your own LINEAR EQUATION! You can use some for your notes to HELP, but DO NOT COPY FROM YOUR NOTES! Come up with your own!!!

Try to help me and make this where I can read it. Don't spend forever on this.

​A Very Important Type of Linear Equation: SLOPE INTERCEPT FORM

​The main type of linear equation we have focused on is: Slope Intercept Form

• ​y=mx+b <-- Slope Intercept Form

​In this type of equation you will see letters that represent SLOPE and the Y-INTERCEPT

• ​m=SLOPE

• ​y=Y-INTERCEPT

​What are they?

​Slope is the steepness of a line

​

​Y-intercepts is where the line crosses the Y-axis

​Identifying Slope and Y-Intercept

​Finding Slope from Ordered Pairs or a Table

​Go to the next slides to see examples...

​type this in your calculator to get the slope!

Steps for solving for slope using the formula:

1. pick two points from the table.

2. ​label them x₁ , y₁ , x₂ , and y₂

3. ​plug into the formula

4. ​type it in your calculator with parenthesis and solve

Multiple Choice

Find the slope from the two ordered pairs:

(3, 9) and (2, -4)

*make sure you use the slope formula!

$$slope\ =\ \frac{\left(y_2-y_1\right)}{\left(x_2-x_1\right)}$$  

• $$\frac{5}{1}\ or\ 5\$$  

• -5

• $$-\frac{1}{5}$$  

• $$\frac{1}{13}$$  

Multiple Choice

Find the slope from the given graph:

*make sure you use the slope formula!

$$slope\ =\ \frac{\left(y_2-y_1\right)}{\left(x_2-x_1\right)}$$  

• $$-\frac{3}{9}\ or\ -\frac{1}{3}$$  

• $$\frac{8}{2}\ or\ 4$$  

•   $$\frac{3}{9}\ or\ \frac{1}{3}$$  

• -11 

​Identifying Slope and Y-Intercept

​You will be asked to identify the slope and y-intercept from a GRAPH

Y=mx+b

​m = SLOPE

​b = Y-INT

​1. Find B (look where the line crosses the y-axis)

​2. Pick two points on the graph (where the graphed line crosses the crosshairs on the coordinate plane)

​3. Count Rise over Run to find the slope.

​4. IF the line is going DOWN FROM LEFT TO RIGHT, Your slope will be NEGATIVE! so make sure you add the minus sign in front of the number!

Multiple Choice

Based on the graph, what is the slope?

• 8

• 3

• $$\frac{8}{3}$$  

• $$\frac{3}{8}$$  

Multiple Choice

Based on the graph, what is the y-intercept?

• 8

• 3

•  -4

•  4

Multiple Choice

Based on the graph, What is the slope?

• 2

• -2

• $$\frac{1}{2}$$  

• $$\frac{-1}{2}$$  

Multiple Choice

Based on the graph, What is the y-intercept?

• 2

• 3

•  4

•  5

​Graphing Slope Intercept Form

​You will be given an equation in slope intercept form and will have to graph it on a coordinate plane.

​

​This can be tricky, but follow these steps to help!

​1. Start with B: put a point on the y-axis for the y-intercept!

​2. Use the slope to graph 2 more points: move rise over run!

• ​if your slope is a whole number, make it a fraction by putting it over 1 - this way you have a number for rise and a number for run

​3. Connect all points to create a line with arrows on the end

​Use headphones and watch this video!

​NEXT Assignment: READ CAREFULLY!!!

​Now that you have gone through these quick review slides, you will complete the assigned quizizz activities with a score of 85 or higher. You can use your notes or these review slides to help you. You can also take the quizzes as many times as you want.

​

​Make sure you do the quizzes IN ORDER!

​

​Don't forget that you can turn the read-aloud on for each quizizz!

​

​I have all quizizz links posted in Google Classroom in the order that you need to complete them. These will all be for a grade. IF I return and you have not gotten an 85 or higher, then you will be sitting at lunch working on them until you do.

Multiple Choice

Which graph could represent this linear equation?

$$y\ =\ -2x+5$$  

Multiple Choice

Which linear equation could be written to represent this graph?

• $$y=-2x+5$$  

• $$y=\frac{2}{3}x-5$$  

• $$y=-5x+3$$  

• $$y=\frac{-2}{3}x+5$$