Straight-Line Graphs: worked exam questions
9 solved straight-line graphs questions, each worked line by line the way the 0606 mark scheme rewards. Learn the method in the Straight-Line Graphs topic notes, then see it applied here.
Area of a Quadrilateral from Its Vertices
Find the area of a quadrilateral from its four vertices using the array (shoelace) method, extending the triangle-area formula to four points, a 0606 question.
Area of a Triangle from Its Vertices
Find the area of a triangle from three coordinate vertices using the shoelace formula, a 0606 straight-line-graphs question with a reliable, error-resistant layout.
Equation of a Line Through Two Points
Find the equation of the straight line through two given points, a foundational 0606 coordinate-geometry skill: gradient first, then a point.
Equation of a Perpendicular Bisector
Find the perpendicular bisector of two points by combining the midpoint and the perpendicular gradient, a 0606 straight-line question in three clean steps.
Finding an Endpoint from the Midpoint
Find the other endpoint of a line segment given its midpoint and one end, a short 0606 coordinate-geometry question running the midpoint formula in reverse.
Line Perpendicular to a Given Line Through a Point
Find the line through (2, −1) perpendicular to 3x − 2y = 6, a 0606 straight-line question that starts by extracting a gradient from implicit form.
Point of Intersection of Two Lines
Find where two straight lines meet by solving them simultaneously, a foundational 0606 coordinate-geometry step that underpins many longer questions.
Showing Three Points Are Collinear
Show that three points lie on the same straight line by comparing gradients, a short 0606 coordinate-geometry proof with a clean logical finish.
Using the Distance Formula to Find an Unknown
Given the length between two points, find an unknown coordinate, a 0606 straight-line question that squares the distance formula into a quadratic with two answers.
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