## Find the midpoint and gradient of a line segment (interval) on the Cartesian plane using a range of strategies, including graphing software (ACMMG294)

LO: To find the mipoint and gradient of a line segment.
Know:

• What an integer is
• How to use co-ordinates to plot points.
• What a midpoint of a line segment is
• What the gradient of a line segment is.

Understand:

• That the midpoint and gradient of a line segment can be found using formulas.

Do:

• I can find the gradient of a line segment.

# Plotting Points for Line Segment  ### The formula for finding the midpoint in a line segment is: # Midpoint Worked Example # Calculating the Gradient of a Line Segment ### In the case below, it rose 2 while only going across 1, which means this line has a slope (gradient) of 2.  ### Sometimes the slope (gradient) can go downwards towards the right, which makes the gradient (slope) negative. ### Sometimes the slope (gradient) can be very steep (2), and sometimes it can be small (1/2). The higher the number for the slope the steeper the line is. 