Coordinate Geometry Flashcards
Equation of a straight line
y=mx+c
Length of a line segment
________________
/(x2-x1)+(y2-y1)
Gradient of a line
y2-y1/x2-x1
Midpoint of a line
(x1+x2/2 , y1+y2/2)
Equation of a straight line
Find the gradient
Find the value of the c
Rewrite the values of m and c in the equation y=mx
+c
Equation of parallel lines
They have the same gradient
Equation of perpendicular lines
The gradient is the negative reciprocal of each other
Equation of perpendicular bisector
Find the gradient of the original line
Ind the gradient of the perpendicular line
Find the midpoint of the perpendicular line
Find the y-intercept of the perpendicular line using the midpoint coordinates
Substitute the values in the equation y=mx+c