Unit 4:3 Equations of Perpendicular Lines

​90 degree

​R & S
T & U

​R & S
T & U

​R & S
T & U

​R & T
S & U

​R & T
S & U

​Perpendicular lines have reciprical slopes with opposite sides

​opposite

​reciprocal

​Flip

​change

Multiple Choice

• $$\frac{4}{5}$$

• $$19$$

• $$\frac{5}{4}$$

• $$-\frac{5}{4}$$

Math Response

Type answer here

Correct Answer: 2

Deg^°

Rad

Math Response

Type answer here

Correct Answer: -\frac{1}{5}

Deg^°

Rad

Multiple Choice

• $$10$$

• $$17$$

• $$\frac{1}{10}$$

• $$-\frac{1}{10}$$

Drag and Drop

The Slope​ is ​ ​

Placeholder

​ . The Equations is ​ ​

Placeholder

.

Drag these tiles and drop them in the correct blank above

Math Response

What is the slope?

Type answer here

Correct Answer: 3

Deg^°

Rad

Math Response

What is the Slope?

Type answer here

Correct Answer: -\frac{1}{6}

Deg^°

Rad

Math Response

Now we know the slope is $$-\frac{1}{6}$$ . What is the equation is slope intercept form?

Type answer here

Correct Answer: y=-\frac{1}{6}x-3

Deg^°

Rad

Fill in the Blank

The first blank.

A line perpendicular to the x-axis will be

Fill in the Blank

The second blank.

A line perpendicular to the x-axis will be vertical and have an

Fill in the Blank

The third blank.

A line perpendicular to the y-axis will be

Fill in the Blank

The third blank.

A line perpendicular to the y-axis will be horizontal and have a slope of

Open Ended

If the graph is perpendicular to the x-axis, is it vertical or horizontal?

Fill in the Blank

We know the line is vertical. What is the slope?

Math Response

We know the line is vertical and has an undefined slope. What is the equation?

Type answer here

Correct Answer: x=-8

Deg^°

Rad

Open Ended

We know perpendicular to the x-axis is vertical. If the graph is perpendicular to the y-axis, is it vertical or horizontal?

Fill in the Blank

We know the line is horizontal. What is the slope

Math Response

We know the line is horizontal and has a slope of zero. What is the euqation?

Type answer here

Correct Answer: y=11

Deg^°

Rad

What are the steps that we need to do to solve?

1. find the slope of the given line

2. find the slope of the perpendicular line

3. use the point slope from to create and equation

4. Solve the equation for y

Math Response

What is the slope-intercept form?

Type answer here

Correct Answer: y=x+9

Deg^°

Rad

​What do we need to do?

Multiple Choice

What is the slope of f?

• 2

• -1

• $$\frac{1}{2}$$

• $$\frac{2}{3}$$

Multiple Choice

What is the slope of g?

• 2

• -1

• $$\frac{1}{2}$$

• $$\frac{2}{3}$$

Open Ended

Are the lines perpendicular? Why?

Open Ended

List 2 things we talked about in this lesson.