What you’ll learn5 learning objectivesChoose one objective for a focused lesson, or study the complete topic.1.3.1Straight lines• find the equation of a straight line given sufficient information e.g. given two points, or one point and the gradient.Syllabus objective1.3.2Line equation forms• interpret and use any of the forms y = mx + c, y - y1 = m(x - x1), ax + by + c = 0 in solving problems Including calculations of distances, gradients, midpoints, points of intersection and use of the relationship between the gradients of parallel and perpendicular lines.Syllabus objective1.3.3Circle equation• understand that the equation (x - a)2 + (y - b)2 = r 2 represents the circle with centre (a, b) and radius r Including use of the expanded form x 2 + y 2 + 2gx + 2fy + c = 0.Syllabus objective1.3.4Lines and circles• use algebraic methods to solve problems involving lines and circles Including use of elementary geometrical properties of circles, e.g. tangent perpendicular to radius, angle in a semicircle, symmetry. Implicit differentiation is not included.Syllabus objective1.3.5Graph intersections• understand the relationship between a graph and its associated algebraic equation, and use the relationship between points of intersection of graphs and solutions of equations. e.g. to determine the set of values of k for which the line y = x + k intersects, touches or does not meet a quadratic curve.Syllabus objective