What is the equation of a line that is perpendicular to $$y = 3x - 4$$ ?

The slope of the perpendicular line is the negative reciprocal of 3, so the equation can be written as $$y = -\frac{1}{3}x + b$$ .

How do you determine if a point lies on a line given by an equation?

Substitute the x-coordinate of the point into the equation and check if the resulting y-value matches the y-coordinate of the point.

What is the formula for the midpoint between two points?

The midpoint M between points (x1, y1) and (x2, y2) is given by: $$M = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)$$ .

Write the equation of a line parallel to $$y = 4x + 1$$ that passes through the point (1, 2).

The equation is: $$y = 4x - 2$$ .

What is the significance of the y-intercept in a linear equation?

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x = 0.

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

Rearrange the equation to solve for y: $$Ax + By = C$$ becomes $$y = -\frac{A}{B}x + \frac{C}{B}$$ .

What is the relationship between the slopes of two lines that are perpendicular?

The slopes of two perpendicular lines are negative reciprocals of each other, meaning if one slope is m, the other is $$-\frac{1}{m}$$ .

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

Use the point-slope form: $$y - y_1 = m(x - x_1)$$ , where (x1, y1) is the point and m is the slope.

What is the formula for calculating the area of a triangle formed by three points in a coordinate plane?

The area A can be calculated using the formula: $$A = \frac{1}{2} |x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2)||$$ .

Coordinate Geometry Review Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the distance formula in coordinate geometry?

Back

2.

FLASHCARD QUESTION

Front

Define slope in the context of a linear equation.

Back

3.

FLASHCARD QUESTION

Front

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

Back

4.

FLASHCARD QUESTION

Front

How do you find the y-intercept of a line from its equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

5.

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.

6.

FLASHCARD QUESTION

Front

Write the equation of a line with slope 2 and y-intercept 3.

Back

7.

FLASHCARD QUESTION

Front

Back

Access all questions and much more by creating a free account

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

Already have an account?

Similar Resources on Wayground

10 questions

Herramientas y Procesos en el Diseño de Bases de Datos

Flashcard

•

11th Grade

10 questions

Essential Statistics Concepts

Flashcard

•

12th Grade

10 questions

Informe de Laboratorio

Flashcard

•

KG

11 questions

Climate Change and Its Causes

Flashcard

•

KG

11 questions

Conceptos Clave de la Historia Contemporánea

Flashcard

•

10th Grade

12 questions

Periodic Trends Flashcard

Flashcard

•

10th Grade

8 questions

Legal Terms Flashcards

Flashcard

•

KG

9 questions

La oralidad

Flashcard

•

10th Grade

Popular Resources on Wayground

5 questions

This is not a...winter edition (Drawing game)

Quiz

•

1st - 5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

10 questions

Identify Iconic Christmas Movie Scenes

Interactive video

•

6th - 10th Grade

20 questions

Christmas Trivia

Quiz

•

6th - 8th Grade

18 questions

Kids Christmas Trivia

Quiz

•

KG - 5th Grade

11 questions

How well do you know your Christmas Characters?

Lesson

•

3rd Grade

14 questions

Christmas Trivia

Quiz

•

5th Grade

20 questions

How the Grinch Stole Christmas

Quiz

•

5th Grade

Discover more resources for Mathematics

10 questions

Identify Iconic Christmas Movie Scenes

Interactive video

•

6th - 10th Grade

33 questions

Algebra 1 Semester 1 Final 2025

Quiz

•

8th - 10th Grade

10 questions

Exploring Global Holiday Traditions

Interactive video

•

6th - 10th Grade

10 questions

Guess the Christmas Movie by the Scene Challenge

Interactive video

•

6th - 10th Grade

10 questions

Guess the Christmas Songs Challenge

Interactive video

•

6th - 10th Grade

10 questions

Test Your Christmas Trivia Skills

Interactive video

•

6th - 10th Grade

10 questions

Exploring the Grinch's Christmas Heist

Interactive video

•

6th - 10th Grade

10 questions

Exploring Unique Holiday Traditions Worldwide

Interactive video

•

6th - 10th Grade