2.2 Graphs

• The y-intercept is the point where the graph crosses the y-axis when x = 0.


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

  $y =$$mx +$$c$
• The y-intercept in the equation y = 2x + 3 is 3.


  True
• The gradient of a linear graph determines how quickly the graph is rising or falling
• What does the slope of a linear graph determine?

  Steepness and direction
• Match the feature of a linear graph with its description:

  Slope/Gradient ↔️ The steepness of the line

  y-intercept ↔️ The point where the graph crosses the y-axis
• What does the constant term c represent in the equation y = mx + c?

  y-intercept
• A positive slope indicates the graph is rising.


  True
• Match the type of slope with its meaning:

  Positive slope ↔️ Rising graph

  Negative slope ↔️ Falling graph

  Zero slope ↔️ Horizontal graph
• What does the y-intercept of a linear graph represent?

  The value of y when x=0
• In the equation y = 2x + 3, the y-intercept is 3.


  True
• What is the y-intercept in the equation y = 2x + 3?

  3
• To find the y-intercept in the equation y = mx + c, you look at the value of c
• The slope of a linear graph determines its steepness and direction.


  True
• A positive slope indicates that the graph is rising from left to right.

  True
• In the slope-intercept form y = mx + c, the variable c represents the y-intercept.


  True
• Steps to draw a linear graph using the slope-intercept form:

  1️⃣ Plot at least two points on the coordinate plane

  2️⃣ Use the slope and y-intercept to plot additional points

  3️⃣ Connect the points with a straight line
• What does the slope of a linear graph represent?

  The steepness
• What are the two key pieces of information needed to plot a linear graph?

  Slope and y-intercept
• What does the slope of a linear graph represent?

  Steepness of the line
• The y-intercept of a linear graph is the point where the graph crosses the y-axis
• Two lines are perpendicular if their slopes satisfy the condition $m_{1} \times m_{2} =$$- 1$.


  True
• The graph of a quadratic function is called a parabola.


  True
• The coefficients in a quadratic equation determine the shape and position of the parabola.
• The graph of a quadratic function is a parabola.


  True
• If 'a' is negative in y = ax^2 + bx + c, the parabola opens downward.


  True
• What does the slope/gradient of a linear graph represent?

  Steepness of the line
• The slope-intercept form of a linear equation is y = mx + c, where 'm' is the slope
• Steps to draw a linear graph:

  1️⃣ Choose a range of x values

  2️⃣ Calculate corresponding y values

  3️⃣ Plot the points

  4️⃣ Draw the line
• When drawing a linear graph, you can start by plotting the slope/gradient and the y-intercept
• The final step in drawing a linear graph is to connect the plotted points with a straight line.


  True
• What is the slope of a line that passes through (1, 3) and (4, 9)?

  2
• What type of graphs are linear graphs?

  Straight line
• What does a positive slope indicate about a linear graph?

  The graph is rising
• In the equation y = mx + c, the term c represents the y-intercept
• Steps to draw a linear graph

  1️⃣ Choose a range of x values

  2️⃣ Calculate corresponding y values

  3️⃣ Plot the points

  4️⃣ Draw the line
• The y-intercept is the value of y when the graph crosses the y-axis.


  True
• The y-intercept of a linear graph is the point where the graph crosses the y-axis
• What is the slope-intercept form of a linear equation?

  $y =$$mx +$$c$
• Steps to draw a linear graph:

  1️⃣ Plot at least two points

  2️⃣ Use slope-intercept form to plot additional points

  3️⃣ Connect the points with a straight line