straight line

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Last updated 9:12 AM on 8/21/26
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10 Terms

1
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Equation of a straight line

y-b=m(x-a)

2
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Finding distance between coordinates when x1≠x2 & y1≠y2

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

3
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Finding distance between coordinates when x1=x2

y2-y1

4
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Finding distance between coordinates when y1=y2

x2-x1

5
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Find the equation of straight line (4, 1) (11, 20)

m=y2-y1/x2-x1

-20–1/11-4

-21/7 =-3

y-b=m(x-a)

m=-3 point (4,1)

y-1=-3(x-4)

y-1=-3(x-4)

y-1=-3x+12

y=-3x+13

6
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Find the midpoint of the points (-5, 11) and (-12,15)

(-12x+x/2 , 15+y/2) = (-5, 11)

-12+x/2 = -5 and 15+y/2 = 11

x=2 and y=7

(2,7)

7
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Find the distance between (-1, -1) (3, 2)

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

_/((3-(-1))2+(2-(-1))2

_/42+32

_/16+9

=_/25

=5

8
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Steps for Median

  1. Midpoint

  2. Gradient

  3. Equation


9
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Steps for Altitude

  1. Gradient

  2. Perpendicular gradient (|_ m)

  3. Equation (B)


10
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Steps for Perpendicular Bisector

  1. Midpoint

  2. Gradient

  3. Perpendicular gradient (|_ m)

  4. Equation