CO-ORDINATE GEOMETRY

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Junior Certificate Maths
Angel  Thomas
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Angel  Thomas
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CO-ORDINATE GEOMETRY CH 20
( , ) (x,y)
Midpoint (add xs , add ys) -------------------- 2
Distance (x2 -x1)2 + (y2-y1)2
Slope m=y2-y1 --------- x2-x1
TO CHECK IF A POINT IS ON THE LINE substitute point into equation: LHS =RHS
SKETCH A LINE WITH 1 POINT AND A SLOPE rise -------- run
SKETCH THE LINE X+3Y=6 x intercept y intercept
Y=MX+C m= slope c= y intercept
FIND EQUATION IF GIVEN A POINT AND A SLOPE y-y1-m(x-x1)
FIND EQUATION GIVEN 2 POINTS find slope y2-y1 --------- x2-x1 then y-y1-m(x-x1)
PARALLEL LINES PERPENDICULAR LINES parallel= same perpendicular= turn fraction upside down and change sign
FIND SLOPE IF GIVEN AX+BY+C=0 slope= -no. in front of x ------------------------- no. in front of y
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