2.4 Graphs

• Line graphs are used to display trends over time.


  True
• What type of graph models growth or decay processes?

  Exponential
• What are the main types of graphs used to represent data?

  Bar, pie, line, scatter
• Scatter graphs are used to reveal relationships between two variables
• Linear graphs have a constant rate of change
• Match the linear equation form with its definition:

  Slope-intercept ↔️ $y =$$mx +$$b$

  Standard ↔️ $Ax +$$By =$$C$

  Point-slope ↔️ $y - y1 =$$m(x - x1)$
• In the equation y = mx + c</latex>, m represents the slope
• What is the purpose of a pie chart?

  Show proportions
• Match the graph type with its characteristic:

  Linear ↔️ Straight line

  Quadratic ↔️ U-shaped

  Cubic ↔️ S-shaped
• The slope of a linear graph measures its steepness.


  True
• Steps to plot a linear graph from its equation:

  1️⃣ Identify the slope and y-intercept

  2️⃣ Plot the y-intercept on the y-axis

  3️⃣ Use the slope to find additional points

  4️⃣ Draw a straight line through the points
• The y-intercept of a linear graph is the point where the line crosses the y-axis.


  True
• The slope of a linear graph measures its steepness
• Steps to plot a linear graph:

  1️⃣ Identify the slope and y-intercept

  2️⃣ Plot the y-intercept on the y-axis

  3️⃣ Use the slope to find additional points

  4️⃣ Draw a straight line through the points
• Line graphs are useful for visualizing changes in data over time.


  True
• Bar graphs use rectangular bars of different heights to represent amounts or frequencies.


  True
• Line graphs use points connected by lines to show changes over time
• To plot the graph of y = 2x - 1, start at the point (0, -1)
• The slope of a linear graph measures its steepness.

  True
• In the standard form of a linear equation, Ax + By = C, A, B, and C are constants.


  True
• What do line graphs display?

  Trends over time
• Steps to plot a line graph

  1️⃣ Identify the variables

  2️⃣ Scale the axes

  3️⃣ Plot the data points

  4️⃣ Connect the points with straight line segments
• To interpret a bar chart, you should compare the heights of the bars.

  True
• The size of a sector in a pie chart indicates the relative proportion of its category.


  True
• What does it mean if a scatter graph shows no correlation?

  No linear relationship
• What is a key characteristic of linear graphs?

  Constant rate of change
• Match the form of the linear equation with its definition:

  Slope-intercept ↔️ y = mx + b

  Standard ↔️ Ax + By = C

  Point-slope ↔️ y - y₁ = m(x - x₁)
• The x-axis of a line graph often represents time
• To interpret a bar chart, compare the heights of the bars
• What type of graph uses sectors to represent proportions of a whole?

  Pie chart
• What is the slope and y-intercept of the equation y = 2x - 1?

  Slope: 2, y-intercept: -1
• The rate of change in a linear graph is constant
• In the slope-intercept form of a linear equation, y = mx + c, the slope is represented by m
• Steps to plot a linear graph

  1️⃣ Identify the slope and y-intercept from the equation

  2️⃣ Plot the y-intercept on the y-axis

  3️⃣ Use the slope to find additional points (rise over run)

  4️⃣ Draw a straight line through the points
• The y-axis of a line graph shows the values of the dependent variable.

  True
• The x-axis of a bar chart lists the categories.
• Each sector of a pie chart represents a category.
• A positive correlation in a scatter graph indicates that the variables increase together.
• A negative correlation in a scatter graph means the variables move in opposite directions.


  True
• What is the y-intercept of a linear graph?

  The point where the line crosses the y-axis