Slope of Tables, Graphs, & 2 Points, A.3A

Slope of Tables, Graphs, & 2 Points

TEKS A.3A

What is Slope?

Types of Slope:

Negative Slope - Downhill

Positive Slope - Uphill

Undefined Slope - Vertical

Zero Slope - Horizontal

Multiple Choice

What is the slope in the picture?

• Positive

• Negative

• Zero

• Undefined

Multiple Choice

What type of slope does the graph have?

• Positive

• Negative

• Zero Slope

• Undefined

Multiple Choice

Which of the following graphs has a positive slope?

Multiple Choice

What type of slope does the graph have?

• Zero

• Undefined

• Negative

• Positive

​Slope from a Graph:

You find the slope of a graph by rising and running from one point to another.

1.) Choose 2 "corner points."

2.) Draw a right triangle from the left point to the right point (rise 1st).

3.) Count the rise (up is +; down is -).

4.) Count the run (right is +; left is -).

5.) Write as a fraction or whole number.

Multiple Choice

Find the slope.

• -3

• 3

• 1/3

• all of the above

Multiple Choice

Find the slope of the line.

• 1/2

• -1/2

• 2/1

• -2/1

Multiple Choice

Find the slope of the graphed line.

• $$\frac{1}{8}$$

• $$8$$

• $$-8$$

• $$-\frac{1}{8}$$

​Slope Formula:


Given 2 Points

Multiple Choice

True or False: Two find the slope between the points (3, 4) and (5, 2) you would do the following

$$\frac{2-4}{5-3}$$  

• True

• False

Multiple Choice

Find the slope of the graphed line.

• $$\frac{3}{7}$$  

• $$-\frac{3}{7}$$  

• $$\frac{7}{3}$$  

• $$-\frac{7}{3}$$  

Multiple Choice

Using the Slope Formula

$$\frac{y_2-y_1}{x_2-x_1}\ \ \ \left(x_1,\ y_1\right)\left(x_2,\ y_2\right)$$   Find the slope of the line that passes through these two points: $$\left(-2,\ -2\right)\ and\ \left(1,\ 2\right)$$  

• $$\frac{5}{3}$$  

• $$1$$  

• $$\frac{4}{3}$$  

• $$\frac{3}{4}$$  

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)

• $$-\frac{5}{8}$$

• $$\frac{16}{11}$$

• $$\frac{1}{6}$$

• $$-\frac{7}{12}$$

Finding Slope from a Table:

• Choose two coordinates: (x, y).

• Find the change in y/change in x.

Multiple Choice

Calculate the slope of the line.

• 5

• 1/5

• 1/4

• 21

Multiple Choice

What is the slope?

• 1/2

• 2

• 7

• 3

Multiple Choice

Using the Slope Formula

$$\frac{y_2-y_1}{x_2-x_1}\ \ \ \left(x_1,\ y_1\right)\left(x_2,\ y_2\right)$$   Find the slope of the line that passes through these two points: $$\left(-1,\ 0\right)\left(4,\ -2\right)$$  

• $$\frac{5}{2}$$  

• $$\frac{-2}{5}$$  

• $$\frac{-1}{2}$$  

• $$\frac{2}{5}$$  

Multiple Choice

What is the slope of this table?

• 15

• 6

• 1/6

• -6

Poll

Are you Clear or Cloudy on this lesson?

• I'm Clear. I could teach this lesson to others.

• I'm Cloudy. I should re-do this lesson.