How do you determine the slope from two points?

The slope $$m$$ between two points $$(x_1, y_1)$$ and $$(x_2, y_2)$$ is calculated using the formula $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ .

What does it mean for a line to have a negative slope?

A line with a negative slope decreases as it moves from left to right, indicating an inverse relationship between x and y.

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

To convert from point-slope form $$y - y_1 = m(x - x_1)$$ to slope-intercept form, solve for $$y$$ to get $$y = mx + (y_1 - mx_1)$$ .

What is the y-intercept of a line?

The y-intercept is the point where the line crosses the y-axis, represented by the value of $$b$$ in the slope-intercept form $$y = mx + b$$ .

How do you graph a linear equation?

To graph a linear equation, find the y-intercept, plot it on the graph, then use the slope to find another point and draw a straight line through both points.

What is the relationship between parallel lines and their slopes?

Parallel lines have the same slope but different y-intercepts, meaning they will never intersect.

What is the relationship between perpendicular lines and their slopes?

Perpendicular lines have slopes that are negative reciprocals of each other. If one line has a slope of $$m$$ , the other will have a slope of $$-\frac{1}{m}$$ .

How do you check if a point lies on a line?

To check if a point $$(x_0, y_0)$$ lies on a line given by the equation $$y = mx + b$$ , substitute $$x_0$$ into the equation and see if the resulting $$y$$ equals $$y_0$$ .

P F Test 3 -- Linear Equations Flashcard

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a linear equation?

Back

2.

FLASHCARD QUESTION

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (positive slope means it rises, negative slope means it falls).

3.

FLASHCARD QUESTION

Front

How do you solve for a variable in a proportion?

Back

4.

FLASHCARD QUESTION

Front

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

Back

5.

FLASHCARD QUESTION

Front

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

Back

6.

FLASHCARD QUESTION

Front

What is the significance of a slope of zero?

Back

A slope of zero indicates a horizontal line, meaning that the y-value remains constant regardless of the x-value.

7.

FLASHCARD QUESTION

Front

What is the equation of a vertical line?

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

15 questions

Unit II Test Review Bio A (Ch. 3-5)

Flashcard

•

9th - 11th Grade

10 questions

Fontes Históricas

Flashcard

•

6th Grade - University

10 questions

Different kinds of friends

Flashcard

•

KG

11 questions

SAINS SUKAN TINGKATAN 5 BIDANG 7

Flashcard

•

KG

15 questions

PART 2-PA First Semester Review-December 2024

Flashcard

•

8th Grade - University

10 questions

Simbolurile Uniunii Europene

Flashcard

•

7th Grade - University

15 questions

7th PBA Test #4 Review

Flashcard

•

7th Grade - University

15 questions

Wishes and regrets

Flashcard

•

8th - 12th 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

13 questions

Finding slope from graph

Quiz

•

8th Grade

20 questions

Slope from a Graph

Quiz

•

8th Grade

14 questions

finding slope from a graph

Quiz

•

8th Grade

15 questions

Two Step Equations

Quiz

•

9th Grade

9 questions

3.2.5 8th U3T2 Quiz Review IM

Quiz

•

8th Grade

19 questions

Explore Triangle Congruence and Proofs

Quiz

•

9th - 12th Grade

20 questions

Distance time graphs

Quiz

•

8th Grade

10 questions

Exploring DNA Structure and Function

Interactive video

•

6th - 8th Grade