Slope Review for Geometry

Slope

What exactly is slope?

It’s how far up or down you go for every one you go over.

It’s how steep or how flat a line is.

The rate of change.  

The multiplicative constant.

How do you calculate slope?

We are going to calculate slope in 4 different ways.

Using the graph.

Using a table.

Using two points.

Using the equation.

Straight up and down

Slope is undefined.

Equation is x = #

​

​Vertical line

Flat

Slope is zero

Equation is y = #

​

​Horizontal line

Multiple Choice

What is the slope of this line?

• 0

• Undefined

Multiple Choice

What is the slope of this line?

• 0

• Undefined

​Mr. Slope Guy

Math Response

What is the slope of this line?

Type answer here

Correct Answer: -1

Deg^°

Rad

Math Response

What is the slope of this line?

Type answer here

Correct Answer: -\frac{5}{4}

Deg^°

Rad

Graphing

Graph the line through point (-1, -4) with a slope of 1/2

Graphing

Plot the points on the graph.

Find the slope for the next slide.

You will answer that on the next slide.

Math Response

Find the slope of the line formed by these points.

Type answer here

Correct Answer: \frac{1}{2}

Deg^°

Rad

Math Response

Find the slope of the line through the points (-2, -1) & (4, 3)

Type answer here

Correct Answer: \frac{2}{3}

Deg^°

Rad

Math Response

Find the slope of the line through the points (-1, 6) & (4, 6)

Type answer here

Correct Answer: 0

Deg^°

Rad

Multiple Choice

What is the slope of the line with the equation y = -4x - 1 ?

• -4

• -1

• 4

• 1

Graphing

Graph the line y = -4x - 1

Multiple Choice

What is the slope of the line with the equation y = -1

• 0

• -1

• Undefined

• 1

Graphing

Graph the line y = -1

Have equal slopes.

Never intersect

​

​Parallel Lines

Have have "flip & switch" slopes.

In this example, one line has a slope of 7/6 and the other line has a slope of -6/7

Intersect at a 90° angle.

​

​Perpendicular Lines

Labelling

Write in the slopes of the parallel and perpendicular lines.​

Drag labels to their correct position on the image

-7/8

2/11

7/8

-2

-8/7

-1/2

1/5

-11/2

-5

2

Poll

Choose color that represents how you feel about calculating slope.

• Red

  I need help

• Yellow

  I'm getting there

• Green

  I've got this