find the linear relationship between the components of the ordered pair of the relation R where R ={(1,5)(2,8)(-1, - 1)....}
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If the points have a linear relationship, then their relationship can be expressed in the form of a linear equation:
y = mx + c
Where m is the slope and c is the y-intercept
m = (8-5) /(2-1) = 3
You will realise that this value is the same regardless of which two points you choose.
Taking any general point (x , y)
(y-5) / (x - 1) = 3
y - 5 = 3x - 3
y = 3x + 2
This is the linear relationship for the components of R
y = mx + c
Where m is the slope and c is the y-intercept
m = (8-5) /(2-1) = 3
You will realise that this value is the same regardless of which two points you choose.
Taking any general point (x , y)
(y-5) / (x - 1) = 3
y - 5 = 3x - 3
y = 3x + 2
This is the linear relationship for the components of R
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