Write the equation of the line that satisfies each of the given conditions

The point slope formula is y - y_{1} = m(x - x_{1}), where (x_{1}, y_{1}) 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 - y_{1} = m(x - x_{1}) 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.