Straight line graphs

• How do you calculate the slope (m) from two points on a line?


  1. Choose two points on the line.
  2. Calculate the vertical distance (rise) and horizontal distance (run) between these points.
  3. Use the formula: $m =$$\frac{\text{rise}}{\text{run}} =$$\frac{\text{change in } y}{\text{change in } x}$
• What does the slope of a line indicate?


  It indicates the steepness of the line
• In the equation y = mx + c, what does 'c' represent?


  The y-intercept
• In the equation y = mx + c, what does 'm' represent?

  The slope or gradient of the line
• What is the general form of a linear equation?


  y = mx + c
• Using the points (0,1) and (4,5), what is the slope of the line?


  1
• How do you find the y-intercept (c) from a graph?


  Look at where the line intersects the y-axis
• What is the y-intercept of the line in the graph?


  1
• What are the steps to write the equation of a line in the form y = mx + c?


  1. Identify the slope (m).
  2. Identify the y-intercept (c).
  3. Substitute these values into the equation: $y =$$mx +$$c$
• If a line has a slope of 2 and a y-intercept of -3, what is its equation?


  y = 2x - 3
• What does the y-intercept represent in a linear equation?


  It represents the point where the line crosses the y-axis
• How does the slope affect the graph of a linear equation?


  A steeper slope indicates a greater change in y for a given change in x
• What is the formula to calculate the slope (m) between two points?


  m = (change in y) / (change in x)
• What is the significance of the y-intercept in the context of a linear equation?


  It indicates the starting value of y when x is zero
• If the slope of a line is negative, what does that indicate about the line's direction?


  The line slopes downward from left to right
• How can you determine if two lines are parallel using their slopes?


  If two lines have the same slope, they are parallel