Slope Review Flashcards

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Questions and Answers

What is rise over run?

slope

What is the slope-intercept form?

y = mx + b

What is the slope formula?

(y₂ - y₁) / (x₂ - x₁)

What is the y-intercept?

the y-coordinate of a point where a graph crosses the y-axis Signup and view all the answers

What is standard form?

Ax + By = C Signup and view all the answers

Is a horizontal line undefined?

False Signup and view all the answers

What is the slope for horizontal lines?

0 Signup and view all the answers

Is a vertical line a function?

False Signup and view all the answers

What is the slope of a vertical line?

undefined Signup and view all the answers

The bigger the value of m, the more the slope of the lines ________.

increases Signup and view all the answers

The smaller the value of m, the more the slope of the lines ________.

decreases Signup and view all the answers

Can you make a perfectly horizontal line?

True Signup and view all the answers

Can you make a perfectly vertical line?

False Signup and view all the answers

How do you find slope?

y2 - y1 over x2 - x1 Signup and view all the answers

Is y = x a basic linear equation?

True Signup and view all the answers

What is slope?

Slope is a measure of direction and steepness. Signup and view all the answers

When graphing an equation, what is the first point you should graph?

The y-intercept Signup and view all the answers

What is the second step when graphing an equation?

You create additional points using rise over run. Signup and view all the answers

When finishing up a graph using the y-intercept and rise/run, when connecting the points, make sure your line is...

straight Signup and view all the answers

What is the most basic linear function?

y = x Signup and view all the answers

Study Notes

Slope Concepts

Rise over Run: The basic definition of slope; measures the vertical change (rise) over the horizontal change (run).
Slope-Intercept Form: The equation of a line represented as y = mx + b, where m is the slope and b is the y-intercept.
Slope Formula: Defined mathematically as (y₂ - y₁) / (x₂ - x₁), used to calculate the slope between two points on a graph.

Line Characteristics

Y-Intercept: The point where a graph intersects the y-axis, represented by the y-coordinate of that point.
Standard Form: A linear equation expressed as Ax + By = C, where A, B, and C are constants.
Horizontal Line: Has a slope of 0, indicating no vertical change as the x-value changes; not undefined.
Vertical Line: Not a function; has an undefined slope due to no horizontal change as the y-value varies.

Graphing Techniques

Effect of m on Slope: Larger values of m increase the slope's steepness, while smaller values decrease it.
Perfectly Horizontal Lines: Possible to create, while perfectly vertical lines are not achievable in graphing.
Finding Slope: Use the formula y₂ - y₁ over x₂ - x₁ to derive slope between two points.
Basic Linear Equation: An example is y = x, which showcases a constant slope of 1.

Graphing Process

First Graphing Step: Start by plotting the y-intercept as the initial point.
Creating Additional Points: Use the rise over run method to establish other points on the graph.
Connecting Points: Ensure that the line drawn between plotted points is straight for accurate representation of the function.

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Description

Test your knowledge on the concepts of slope with these flashcards. Covering definitions such as rise over run, slope-intercept form, and more, this quiz is perfect for reinforcing your understanding of linear equations. Ideal for students preparing for math exams.