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STRAIGHT LINE Distance Formula The distance between the points (x1,y1) and (x2,y2) is found using the formula: √( ) ( ) Mid-point Formula We can find the mid-point of the line AB using the formula: ( ) Gradient We can find the gradient between 2 points, (x1,y1) and (x2,y2), using the formula: Angles & Gradients: The anti-clockwise angle between the positive direction of the x-axis and a line are connected by the formula: Parallel lines have the same gradient: The gradients of perpendicular lines are connected using the formula: Equation Of A Straight Line Horizontal Lines A horizontal line has equation y = a where a is the point that the line crosses the y-axis. Vertical Lines A vertical line has equation x = b where b is the point that the line crosses the x-axis. Diagonal Lines The equation of a diagonal line can be found using the formulae: where m is the gradient and c is the y-intercept. ( ) where m is the gradient and (a,b) is a point on the line. Altitudes An altitude is a line drawn, in a triangle, from a vertex and it is perpendicular to the opposite side. Medians A median is a line drawn, in a triangle, from a vertex to the midpoint of the opposite side. Perpendicular Bisectors B A perpendicular bisector is a line that bisects (cuts in half) another line and it is at right angles to the line. A Mid-point of AB Straight Line Practice http://www.bbc.co.uk/bitesize/higher/maths/geometry/the_straight_line/revision/1/ Revise the rule and try the TESTBITE. http://www.supermathsworld.com/ Ask your teacher for the login details. Select EXPERT from the bottom menu. Select COORDINATE GEOMETRY from the menu. Try DISTANCE, MID-POINT, GRADIENT, PERPENDICULAR & EQUATION OF A LINE. http://www.google.co.uk/url?sa=t&rct=j&q=&esrc=s&frm=1&source=web&cd=6&ved=0CEcQFjAF&url=http%3A%2F%2 Fwww.mathsrevision.com%2Findex_files%2FMaths%2FPresentations%2FS5_Higher_Course%2FS5_Unit_1_Outcome_1. pps&ei=RMWaU-f-LcSDOImUgIAP&usg=AFQjCNGLXLokDceQR6OQRikRB0AaCs9a4A&bvm=bv.68911936,d.ZGU A powerpoint presentation on the straight line.