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.