Slope Formula

Happy Thursday!

"The only way to learn Math is to DO Math"

Slope Formula

How can we use the slope formula to find the slope of two given points?

Multiple Choice

What does the m stand for in the slope formula?

• y-axis

• slope

• x coordinate

• y coordinate

You can use any two points on a line to find the slope

.

Multiple Choice

How many points do you need to find the slope of a line?

• 1

• 2

• 3

• 4

Lets Practice!

Step by Step

• 1. Label the points

• (It doesn't matter which point you pick to be first or second you'll still get the same answer)

Lets Practice!

Step by Step

• 2. Substitute or plug in the numbers into the slope formula

• 3. Use the formula to calculate the slope and simplify

Your Turn!

Find the slope of the line that goes through points (5, 17) and (0, -3)

Step 1: Label the points

• First point ---> (x_{1 ,} y₁) = (5, 17) x₁= 5 and y₁= 17

• Second point ---> (x_{2 ,} y₂) = (0, -3) x₂= 0 and y₂= -3

Multiple Choice

What is the slope formula?

Step 2: Substitute or plug in the numbers (values) into the slope formula

 $m=\frac{y_2-y_1}{x_2-x_1}$  

 $m=\frac{-3-17}{0-5}$  

- Remember y values go on top and x values go on bottom

- Don't forget the MINUS in between each point for the top and bottom

Step 3: Calculate the slope and simplify

 $m=\frac{-3-17}{0-5}=\frac{-20}{-5}=4$ 

- Use a calculator if you need to! 
- The line that separates the 2 numbers in a fraction is a division sign
- When you multiply OR divide 2 negative numbers with each other you will get a positive answer

Multiple Choice

Find the slope of the line that goes through the points

(−1,−2) and (−3,−4).

• 1

• 2

• 3

• 4

Multiple Choice

Find the slope of the line that goes through the points

(−11,−5) and (1,−12)

• $-\frac{5}{8}$

• $\frac{16}{11}$

• $\frac{1}{6}$

• $-\frac{7}{12}$

Multiple Choice

Find the slope between the two points.

( 2, 7 ) and ( 5, 8 )

• $\frac{1}{3}$

• $-\frac{1}{3}$

• 3

• -3

Multiple Choice

What is the slope of the line that passes through the points

(2, 1) and (8, 9)?

• $\frac{4}{3}$

• $-\frac{4}{3}$

• $\frac{3}{4}$

• $-\frac{3}{4}$

Multiple Choice

What is the slope of the line that passes through the points

(-4, -1) and (-2, -5)?

• 
  

  $\frac{1}{2}$
  

• $-\frac{1}{2}$

• 2

• -2

Multiple Choice

Find the slope given the points (3,18) and (0,18).

• undefined

• 0

• 22

• 6

Multiple Choice

Find the slope given the points (-2,-9) and (-1,-3)

• 4

• 
  

  $-\frac{1}{6}$
  

• -6

• 6

Multiple Select

What are the two coordinates used in this formula to calculate the slope?

• (5, -3)

• (-3, 3)

• (5, 2)

• (2, 3)

Multiple Choice

Calculate the slope using the formula

• $\frac{0}{3}=0$

• $\frac{-6}{3}=-2$

• $-\frac{6}{7}$

• $\frac{6}{3}=2$

Multiple Choice

Calculate the slope using the formula

• 
  

  $\frac{20}{10}$
  

• $-\frac{10}{0}$

• $\frac{0}{0}=0$

• $\frac{-20}{-20}$

Poll

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