Extended Coordinate geometry

Topics

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Sample objectives

What this unit covers

• Drawing linear graphs: Create straight-line graphs for linear equations that are presented in various forms, such as y = -2x + 5, y = 7 - 4x, or 3x + 2y = 5.
• Gradient of linear graphs: Determine the slope of a straight line and compute the slope using the coordinates of two points on the line.
• Length and midpoint: 1 Determine the length of a line segment. 2 Identify the coordinates of the midpoint of a line segment.
• Equations of linear graphs: Interpret and derive the equation of a straight line from various forms, such as ax + by = c and y = mx + c, as well as from a given graph. This includes determining the gradient and y-intercept from an equation, for example, finding the gradient and y-intercept for the equation 5x + 4y = 8. Ensure that equations of a line are presented in fully simplified form.
• Perpendicular lines: Determine the slope and equation of a straight line that is perpendicular to another line. For instance, calculate the slope of a line that is perpendicular to the equation 2y = 3x + 1, or find the equation of the perpendicular bisector for the segment connecting the points (-3, 8) and (9, -2).