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 m₁ = m₂, area of a triangle - translate 1 point to (0,0) then x1y2-x2y1, perpendicular lines l₁ ⊥ l₂ - m₁ × m₂ = -1, perpendicular distance - state, to find perpendicular slopes - flip the fraction, flip the sign, To find slope from equation of a line - y = mx + c and m = slope, angle between 2 lines - m1-m2/1+m1m2, any line parallel to 4x - 5y + 8 = 0 - 4x - 5y + k = 0, equation of a line formula with a point and slope - y - y₁ = m(x - x₁), to find an equation of a line - the slope and a point are needed, to draw a line - two points are needed, if a line cuts the x-axis - y = 0, if a line cuts the y-axis - x = 0, any line perpendicular to 4x - 5y + 8 = 0 - 5x + 4y + k = 0 or -5x - 4y +k = 0, to verify point is on a line - sub x and y into the equation and you'll get 0, point of intersection - simultaneous equations,

Coordinate Geometry of The Line

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