Cartesian Plane - A system that specifies the position of each point in a plane, formed by the intersection of 2 perpendicular number lines called axes. Each point is represented by an ordered pair (x,y) of real numbers called the coordinates of the point. The point where the axes meet is called the origin and has coordinates (0,0)., Midpoint - A point on a line segment or interval that divides the segment into 2 equal parts., Coordinates - A set of values that define the position of a point or an object in a space. The coordinate system being used will govern the nature of the coordinates., Parallel - Two distinct lines, rays or line segments in the same plane that have no points of intersection and so necessarily have the same gradient (slope)., Gradient - The slope of a line., Perpendicular - Two lines, rays, line segments, vectors, planes or other objects that intersect at a 90° angle (a right angle)., Interval - A continuous subset of the real number line., Pythagoras' Theorem - The square of the length of the hypotenuse, C , of a right-angled triangle equals the sum of the squares of the lengths of the other 2 sides, A and B, such that A^2+B^2 = C^2., Linear Relationship - Two variables and are in a linear relationship (or form a linear function) if they are connected by an equation of the form y=mx+c., Equation - An expression showing the equality of 2 quantities, using the = sign between them. A mathematical formula asking for a solution so that the 2 expressions in that variable are equal., Mean - The sum of values in a dataset divided by the total number of values in the dataset. Also called the average., Intercept - The point at which a curve or function crosses an axis or other curve in a plane. The point at which a curve crosses the x-axis is called the x-intercept and the point at which a curve crosses the y-axis is called the y-intercept.,

10 Maths - Linear Relationships A(Core) + B(Core)

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