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Find the equation of the line shown.

Find the equation of the line shown.-example-1

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First we need the slope which is finding from the following equation.

slope = y(B) - y (A) / x (B) - x(A)

Suppose ;

A = ( 0 , 0 ) & B = ( 10 , 5 )

Thus :

slope = 5 - 0 / 10 - 0

slope = 5 / 10

slope = 1 / 2

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We have following equation to find the point-slope form of the linear functions.

y - y(0) = s × ( x - x(0) )

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y(0) & x(0) are the coordinates of the point which line through it like A = ( 0 , 0 ) or B = ( 10 , 5 ).

s = slope

__________________________

I choose point A to put in the equation.

So :

y - ( 0 ) = 1/2 × ( x - ( 0 ) )

y - 0 = 1/2 × x - 1/2 × 0

y = 1/2 × x

y = x/2

Done....

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