Find the equation of the line shown.

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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

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

y - y(0) = s × ( x - x(0) )

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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x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)