# How do you write an equation of a line that passes through (2,3) with a slope of -1/2?

Oct 8, 2015

$y = - \frac{1}{2} x + 4$

#### Explanation:

1. The equation for slope-intercept form is $y = m x + b$
2. Plug in the points and the slope into the correct spots.
3. $\left(2 , 3\right)$ $x = 2$, $y = 3$ $m = - \frac{1}{2}$
4. $3 = - \frac{1}{2} \left(2\right) + b$
5. Solve for b (the y-intercept)
6. $3 = - 1 + b$ Add one to both sides to balance equation $4 = b$
7. $y = m x + b$, $y = - \frac{1}{2} x + 4$