Coordinate Geometry Flashcards

1
Q

Equation of a straight line

A

y=mx+c

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2
Q

Length of a line segment

A

________________

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

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3
Q

Gradient of a line

A

y2-y1/x2-x1

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4
Q

Midpoint of a line

A

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

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5
Q

Equation of a straight line

A

Find the gradient
Find the value of the c
Rewrite the values of m and c in the equation y=mx
+c

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6
Q

Equation of parallel lines

A

They have the same gradient

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7
Q

Equation of perpendicular lines

A

The gradient is the negative reciprocal of each other

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8
Q

Equation of perpendicular bisector

A

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

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