midpoint - add the x coordinates, divide by two then add the y coordinates, divide by two, midpoint formula - [(x₁+x₂)/2, (y₁+y₂)/2], slope definition - the measure of how steep a line is, slope from a graph - rise/run, slope formula - (y₂- y₁) / (x₂- x₁), horizontal lines - have slope of 0, distance formula - √((x₂ - x₁)² + (y₂ - y₁)²), parallel lines - have same slope, l₁ || l₂ - m₁ = m₂, perpendicular lines - have slopes that multiply to give -1, l₁ ⊥ l₂ - m₁ × m₂ = -1, to find perpendicular slopes - flip the fraction, flip the sign, equation of a line formula - y = mx + c, m - slope, c - y-intercept, ie where a line cuts the y axis, equation of a line formula with a point - y - y₁ = m(x - x₁), to find an equation of a line - the slope and a point are needed, to draw a line - a minimum of two points are needed, if a line cuts the x-axis - y = 0, if a line cuts the y-axis - x = 0, lines parallel to the x-axis - are horizontal, equation will be y = a number, lines parallel to the y-axis - are vertical, equation will be x = a number, to verify point is on a line - sub in the coordinates into the equation, if it satisfies then the point is on the line, point of intersection - the coordinate where to lines cross, finding the point of intersection - graphically by drawing them or by using simultaneous equations,

Coordinate Geometry JC HL

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