Algebra 1 - Slope Flashcards

Questions and Answers

What is a coordinate plane?

A graph with two axes (correct)

A type of slope

A line segment on a graph

A graph with three axes

What is the horizontal axis called?

x-axis

What is the vertical axis called?

y-axis

What do ordered pairs represent?

A point on the graph (x,y) Signup and view all the answers

What is the first coordinate in an ordered pair called?

X-coordinate Signup and view all the answers

What is the second coordinate in an ordered pair called?

Y-coordinate Signup and view all the answers

What is the point where the x and y axes cross called?

Origin Signup and view all the answers

What is the definition of a slope?

Steepness of a line Signup and view all the answers

What is the formula for slope?

Rise/Run Signup and view all the answers

What does a positive slope indicate?

Points up Signup and view all the answers

What does a negative slope indicate?

Points down Signup and view all the answers

What type of line has an undefined slope?

A vertical line Signup and view all the answers

What type of line has a zero slope?

A horizontal line Signup and view all the answers

What is the y-intercept?

Where the line hits the Y axis Signup and view all the answers

What is the x-intercept?

Where the line hits the X axis Signup and view all the answers

What is the structure of the slope-intercept form?

y = mx + b Signup and view all the answers

The Origin is represented by the coordinates ______

(0,0) Signup and view all the answers

What does the 'Three Musketeer Rule' refer to in graphing?

Divide each part of y = mx + b by the same number Signup and view all the answers

What do the terms Domain and Range refer to?

Y values of a graph and X values of a graph Signup and view all the answers

Match the following terms with their definitions:

Slope = m = the steepness of a line Standard Form = Ax + By = C (Use cover-up method) Point-Slope Form = y-y⍳ = m( x-x⍳) m = slope; (x⍳, y⍳) is a point on the line. HOY = H = Horizontal Line, O = Zero Slope, Y = y=#equation Signup and view all the answers

In inequalities, when do I use a dashed line? ______

When it's < or > (doesn't include the line!) Signup and view all the answers

What should you do with a non-integer result in slope?

Rewrite in Slope-Intercept form Signup and view all the answers

Study Notes

Coordinate Plane

Consists of two intersecting axes: the horizontal x-axis and the vertical y-axis.

Ordered Pairs

A format to represent a point on the graph, structured as (x,y).

Coordinates

X-coordinate: The first value in an ordered pair, indicating horizontal position.
Y-coordinate: The second value in an ordered pair, indicating vertical position.

Origin and Quadrants

Origin is the point where the x-axis and y-axis cross, represented as (0,0).
The coordinate plane is divided into four quadrants based on the sign of the coordinates.

Slope Concepts

Slope (m) measures the steepness of a line.
Positive slope: Line rises from left to right.
Negative slope: Line falls from left to right.
Undefined slope: A vertical line where x-coordinates are constant.
Zero slope: A horizontal line where y-coordinates are constant.

Formulas

Slope formula: m = (y2 - y1) / (x2 - x1) = rise/run.
Slope-Intercept Form: Expresses a line as y = mx + b, where m is the slope and b is the y-intercept.
Standard Form: Ax + By = C, which can be analyzed using the cover-up method.

Intercepts

Y-intercept: The point where the line crosses the y-axis.
X-intercept: The point where the line crosses the x-axis.

Graphing Techniques

Cover-Up Method: Used to graph intercepts directly from standard form equations.

Inequalities

Dashed line is used when the inequality is strict (< or >), indicating the line is not included.
Solid line is used when the inequality is inclusive (≤ or ≥), indicating the line is included.

Special Rules

HOY (Horizontal, Zero Slope, y = # equation) simplifies understanding horizontal lines.
VUX (Vertical, Undefined Slope, x = # equation) simplifies understanding vertical lines.

Other Concepts

Domain refers to the set of possible y-values for a function.
Range refers to the set of possible x-values for a function.
For non-integer results, rewrite in Slope-Intercept form for ease of use.

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Description

Test your understanding of key concepts related to the slope in Algebra 1 through this flashcard quiz. Each card features essential vocabulary and definitions that will help reinforce your knowledge of coordinate planes and ordered pairs.