Co-ordinate geometry Flashcards

1
Q

enjoy the…

A

math test

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2
Q

equation of line

A

y=mx+c

m= gradient
c= y intercept
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3
Q

how to find equation of line if given 2 co-ordinates

A
  • substitute coordinates into m=x2-x1/ y2-y1
  • then substitute m and x1 and y1 into y-y1=m(x-x1)
  • x and y are always unknown in second eq*
  • then rearrange and simplify into requested format
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4
Q

how to find equation of a line given the gradient and 1 coordinate

A
  • sub, m and coordinates (x1 and y1 ) into the equation
    y-y1=m(x-x1)
  • then rearrange and simplify into requested format
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5
Q

how to find midpoint of a line

A

(x1+x2)/2 , (y1-y2)/2

then combine points

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6
Q

how to find point of intersection of 2 lines

A

do simultaneous equation and combine points of x and y

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7
Q

equation to get perpindicular gradient from a gradient of another line

A

m1*m2=-1

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