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Understanding Perpendicular Lines and Slopes

Understanding Perpendicular Lines and Slopes

Assessment

Interactive Video

Mathematics

8th - 10th Grade

Practice Problem

Hard

CCSS
8.EE.B.6, 8.EE.B.5, HSG.CO.A.1

+1

Standards-aligned

Created by

Liam Anderson

FREE Resource

Standards-aligned

CCSS.8.EE.B.6
,
CCSS.8.EE.B.5
,
CCSS.HSG.CO.A.1
CCSS.8.F.A.3
,
The video tutorial explains how to graph a line perpendicular to a given equation in standard form. It covers the properties of perpendicular lines, such as intersecting at a 90° angle and having opposite reciprocal slopes. The tutorial demonstrates converting an equation to slope-intercept form to find the slope and then finding the perpendicular slope. It also shows how to derive the equation of a perpendicular line that passes through a specific point using point-slope form.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a key characteristic of perpendicular lines?

They have the same slope.

They are parallel.

They never intersect.

They intersect at a 90° angle.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you convert an equation from standard form to slope-intercept form?

Multiply both sides by the slope.

Add the y-intercept to both sides.

Subtract the x variable from both sides.

Isolate the y variable.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the slope of the equation x + 2y = 3 when converted to slope-intercept form?

-1/2

2

-2

1/2

Tags

CCSS.8.EE.B.5

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the alternative method to find the slope of a line in standard form?

Use the formula A + B.

Take the opposite of A over B.

Multiply A and B.

Divide A by B.

Tags

CCSS.8.EE.B.5

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the slope of a line is 1/2, what is the slope of a line perpendicular to it?

2

-2

-1/2

1/2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the point-slope form of a line?

Ax + By = C

y = mx + b

y - y1 = m(x - x1)

y = x + c

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which point does the new perpendicular line pass through?

(3, 2)

(2, 3)

(1, 7)

(0, 0)

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