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Through (5,6) with slope -1 1/2

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1 Answer

The point slope formula is y - y1 = m(x - x1), where (x1, y1) is the point you are given and m is the slope.  Note that I am going to convert the slope to an improper fraction.

y - y1 = m(x - x1)                    Point-slope formula

y - 6 = -3/2(x - 5)                   Substitution

y - 6 = -3/2x + 15/2                Distributive property

y - 6 + 6 = -3/2x + 15/2 + 6     Add 6 to each side

y = -3/2x + 15/2 + 6                Simplify the left side

y = -3/2x + 15/2 + 12/2           Find the common denominator

y = -3/2x + 27/2                     Simplify the right side

 

Comments

Hi John,

I wouls suggest you to put  -3/2 in parenthesis as (-3/2) otherwise students make a common mistake of interpreting that x is in the denominator.