Straight-Line Graphs

You will be able to

• Calculate the midpoint and the exact length of a line segment from the coordinates of its end points, simplifying the surd.
• Find the equation of the perpendicular bisector of AB, using m₁m₂ = −1, in the forms y = mx + c and ax + by + c = 0.
• Decide whether two lines are parallel or perpendicular from their gradients, and calculate the area of a triangle from its vertices.

You will be able to

• Transform a relationship such as y = Axⁿ or y = Abˣ into the straight-line form Y = mX + c by taking logarithms, and state what to plot on each axis.
• Determine the unknown constants from the gradient and the intercept of the line of best fit, such as A = 10^c and n = m.
• Explain why only the correct choice of axes turns the data into a straight line.