Algebra 1 - Slope Flashcards

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson
Download our mobile app to listen on the go
Get App

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?

<p>A point on the graph (x,y)</p> Signup and view all the answers

What is the first coordinate in an ordered pair called?

<p>X-coordinate</p> Signup and view all the answers

What is the second coordinate in an ordered pair called?

<p>Y-coordinate</p> Signup and view all the answers

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

<p>Origin</p> Signup and view all the answers

What is the definition of a slope?

<p>Steepness of a line (A)</p> Signup and view all the answers

What is the formula for slope?

<p>Rise/Run</p> Signup and view all the answers

What does a positive slope indicate?

<p>Points up</p> Signup and view all the answers

What does a negative slope indicate?

<p>Points down</p> Signup and view all the answers

What type of line has an undefined slope?

<p>A vertical line</p> Signup and view all the answers

What type of line has a zero slope?

<p>A horizontal line</p> Signup and view all the answers

What is the y-intercept?

<p>Where the line hits the Y axis</p> Signup and view all the answers

What is the x-intercept?

<p>Where the line hits the X axis</p> Signup and view all the answers

What is the structure of the slope-intercept form?

<p>y = mx + b</p> Signup and view all the answers

The Origin is represented by the coordinates ______

<p>(0,0)</p> Signup and view all the answers

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

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

What do the terms Domain and Range refer to?

<p>Y values of a graph and X values of a graph</p> Signup and view all the answers

Match the following terms with their definitions:

<p>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</p> Signup and view all the answers

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

<p>When it's &lt; or &gt; (doesn't include the line!)</p> Signup and view all the answers

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

<p>Rewrite in Slope-Intercept form</p> Signup and view all the answers

Flashcards are hidden until you start studying

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.

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Quiz Team

More Like This

Use Quizgecko on...
Browser
Open
Browser
Browser