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Algebra
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Find an equation of the line containing the given pair of points

(-5,0) and (0,2)

Y=_____

Aug 13th, 2014

Pairs are (-5,0) and (0,2)

Where X1 = -5    Y1 = 0     X2 = 0    Y2 = 2

Now first we find the slope 'm' using the formula    m = 

Now putting the values in formula then we get

m = 

m = 2/5

Now we have the slope then we can find the value of constant 'c' using the formula which is 

Y = mX + c             

putting the values of X, Y  and m then

0 = 2/5(-5) + c                                                     [Note that values of X and Y can be put from any one of pair]

0 = -2 + c

c = 2

Now we put the values of c , m , X and Y in equation 1 to find the equation of line using the slope/intercept formula which is  Y - Y1 = m(X - X1)   .................1

Putting the values in 1, we get

Y - 0 = 2/5(X - (-5))

Y = 2/5(X + 5)

Multiply by 5 on both sides, we get

5Y = 2(X + 5)

5Y = 2X + 10

Or      2X - 5Y + 10 = 0

which is the equation of line.

Aug 13th, 2014

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