A worksheet on determining whether two lines are parallel, intersecting or coinciding and examining if they are perpendicular. Detailed solutions are included. The exercises require to find the relative position of two lines given their equations (by considering their gradients), examine whether two lines are perpendicular given their equations (by considering their gradients), find the equation of a line parallel or perpendicular to another line, find a missing parameter in an equation of a line given that it is parallel or perpendicular to a given line and passing through a given point and find the relative positions or equation of three lines given their graph. Very detailed solutions included.
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Equation of Straight Line, Position of Two Lines, Simultaneous Equations Bundle
A collection of three worksheets. Two worksheets on the equation of a straight line and simultaneous equations and one worksheet on the relative position of two lines. The exercises require to: find the distance between two points find the midpoint of a line segment find the gradient of a straight line given its equation find the relative position of two lines (intersecting, parallel, perpendicular, coinciding) given their equations (by considering their gradients) examine whether two lines are perpendicular given their equations (by considering their gradients) find a missing parameter in an equation of a line given that it is parallel or perpendicular to a given line and passing through a given point find the relative positions or equation of three lines given their graph find the equation of a line through a point and parallel to another line find the equation of a line through a point and perpendicular to another line find the number of solutions of a system of simultaneous equations solve simultaneous equations algebraically solve simultaneous equations graphically solve word problems using simultaneous equations Detailed solutions to all worksheets are included.
£3.90
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Gradient of a Line-Equation of a Line Given Gradient and a Point-Parallel, Perpendicular, Intersecting, and Coinciding Lines Worksheets
Three worksheets on the following: * finding the gradient of a line given the coordinates of two points * determining the equation of a straight line given its gradient and a point on it * determining whether two lines are parallel, intersecting or coinciding and examining if they are perpendicular The exercises require to find the gradient of a line given the coordinates of two points on it using the relevant formula, determine the equation of a line given its gradient and a point on it, find the relative position of two lines given their equations (by considering their gradients), examine whether two lines are perpendicular given their equations (by considering their gradients), find the equation of a line parallel or perpendicular to another line, find a missing parameter in an equation of a line given that it is parallel or perpendicular to a given line and passing through a given point and find the relative positions or equation of three lines given their graph. Very detailed solutions included.
£3.35
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