What is the equation of a line that passes through the point (2, 3) with a slope of 4?

Using point-slope form, the equation is: $$y - 3 = 4(x - 2)$$ .

How do you find the equation of a line given its slope and a point?

Use the point-slope form: $$y - y_1 = m(x - x_1)$$ , substituting the slope and the coordinates of the point.

What is the significance of the slope in a linear equation?

The slope indicates the steepness of the line and the direction it moves: positive slope means the line rises, negative slope means it falls.

How can you identify parallel lines from their equations?

Parallel lines have identical slopes. For example, if two lines are represented as $$y = mx + b_1$$ and $$y = mx + b_2$$ , they are parallel.

What is the formula for the slope of a line in standard form?

For a line in standard form $$Ax + By = C$$ , the slope is given by $$-\frac{A}{B}$$ .

What is the relationship between the slopes of parallel and perpendicular lines?

Parallel lines have equal slopes, while perpendicular lines have slopes that are negative reciprocals of each other.

How do you graph a linear equation in slope-intercept form?

Start at the y-intercept $$b$$ on the y-axis, then use the slope $$m$$ to rise/run to find another point.

What is the point-slope form of the line that passes through (1, 2) with a slope of -3?

The equation is: $$y - 2 = -3(x - 1)$$ .

Study Guide 3-3 Flashcard

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the point-slope form of a linear equation?

Back

2.

FLASHCARD QUESTION

Front

How do you find the slope of a line given two points?

Back

3.

FLASHCARD QUESTION

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

4.

FLASHCARD QUESTION

Front

What is the slope-intercept form of a linear equation?

Back

5.

FLASHCARD QUESTION

Front

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

Back

6.

FLASHCARD QUESTION

Front

What is the y-intercept of a line?

Back

7.

FLASHCARD QUESTION

Front

How do you determine if two lines are perpendicular?

Back

Create a free account and access millions of resources

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

By signing up, you agree to our Terms of Service & Privacy Policy

Already have an account?

Similar Resources on Wayground

10 questions

KELAS X: KUIS BAB 3 : TEKS ANEKDOT

Flashcard

•

10th Grade

10 questions

Energy Flow in Ecosystems

Flashcard

•

8th Grade

15 questions

Compound inequalities

Flashcard

•

8th Grade

15 questions

Solving Systems of Equations by Graphing

Flashcard

•

9th Grade

15 questions

Factor GCF of Polynomials

Flashcard

•

9th Grade

15 questions

Adding and Subtracting Polynomials

Flashcard

•

8th - 9th Grade

7 questions

REVIEW

Flashcard

•

8th Grade

10 questions

English 10 (Final Round)

Flashcard

•

10th Grade

Popular Resources on Wayground

10 questions

Honoring the Significance of Veterans Day

Interactive video

•

6th - 10th Grade

10 questions

Exploring Veterans Day: Facts and Celebrations for Kids

Interactive video

•

6th - 10th Grade

19 questions

Veterans Day

Quiz

•

5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

15 questions

Circuits, Light Energy, and Forces

Quiz

•

5th Grade

6 questions

FOREST Self-Discipline

Lesson

•

1st - 5th Grade

7 questions

Veteran's Day

Interactive video

•

3rd Grade

20 questions

Weekly Prefix check #2

Quiz

•

4th - 7th Grade

Discover more resources for Mathematics

15 questions

Two Step Equations

Quiz

•

9th Grade

19 questions

Explore Triangle Congruence and Proofs

Quiz

•

9th - 12th Grade

10 questions

Types of Slope

Quiz

•

6th - 9th Grade

10 questions

Exploring the Basics of Ratios

Interactive video

•

6th - 10th Grade

15 questions

Identify Triangle Congruence Criteria

Quiz

•

9th - 12th Grade

23 questions

Similar Figures

Quiz

•

9th - 12th Grade

16 questions

Domain and Range of Functions

Quiz

•

9th Grade

20 questions

SSS/SAS

Quiz

•

9th - 12th Grade