Slope Intercept Form

Learning Objective:

​SWBAT write linear equations in two variables using slope-intercept form to represent the relationship between two quantities.

Language Objective: SWBAT describe how to graph a linear Equation

​SLOPE INTERCEPT FORM

​In your notebook, copy down the title, date and learning objective of this lesson before moving onto the next slide.

Click on the next slide to get started with your mindful minute questions.

​

MINDFUL MINUTES: 5 min

Multiple Select

Question#1. What is one way to define a "slope"?

(Choose all that apply

• rate of change of a linear equation

• direction and steepness of a line

• rise over run

• change of y over change in x

Multiple Choice

Question#2. When you are walking down a mountain from the top, what kind of slope does the path have?

• Positive

• Negative

• Zero

• Undefined

Multiple Choice

Question#3. What is the slope of the line shown in the graph?

• Positive

• Negative

• Zero

• Undefined

Multiple Choice

Refer to the image on the left to answer:

Question#4. What is the slope of the line shown in the graph?

• Positive

• Negative

• Zero

• Undefined

Multiple Choice

Question#5. What is the slope of the line shown in the graph?

• Positive

• Negative

• Zero

• Undefined

​NOTE:

​NOTE:

​NOTE: There are three types of linear equations

Categorize

Options (8)

y = 3x + 2

y - 2 = 4(x - 1)

3x² + 6x + 3 = 0

3x + 2y = 15

y = -2/3x + 12

-3y + 5x = 12

y - 3 = 2/5 (x+1)

2y = -5x + 7

THINK, PAIR, SHARE:

Work with your partner to drag each equation on the left to the box it belongs in. Click on the picture on the left to help you determine the answer.

Slope Intercept Form

Standard Form

Point Slope Form

Neither

​NOTE: In this lesson we will be focusing on: Slope Intercept Form

​We can tell what the slope and y-intercept of a line is by looking at the slope intercept form of a line.

Graphing

Example #1 :

What is the graph of y = 4/5 x + 2 ?

Step 1: Identify the y-intercept(b)

Step 2: Use the (m)slope to plot a second point

Graphing

Example#2.

Sketch the graph of

$$y\ =\ \frac{-3}{4}x\ \ -5$$

Step 1: Plot y = intercept (b)

Step 2: Use the slope (m) to plot the next point

Step 3: Draw the line through both points