# What is the slope intercept form of the line passing through (-1,9)  with a slope of -1/2 ?

Dec 25, 2015

y= -1/2x + 17/2

#### Explanation:

( x 1 , y 1) $\equiv$ (-1,9) ; m= -$\frac{1}{2}$

By slope-point form
( y - y 1) = m ( x - x 1 )

( y - 9) = -$\frac{1}{2}$ ( x - (-1) )

( y -9) = -$\frac{1}{2}$ ( x +1)

( y -9) = $- \frac{x}{2}$ -$\frac{1}{2}$

y -9 = $\frac{- x - 1}{2}$

2 y -18 = - x -1

2 y = - x -1 +18

2 y = -x +17

y = -$\frac{1}{2}$ x + $\frac{17}{2}$