# How do you write with equation of a line with slope -1/2 and y-intercept (0, 3)?

Apr 10, 2016

$y = - \frac{1}{2} x + 3$

#### Explanation:

Consider the Gradient Form of a linear function:

$y = m x + c$

Where $m$ is the gradient of the graph.
and $c$ is the constant term (effectively the $y$ intercept)

If we substitute $m = - \frac{1}{2}$ (the slope of the line you have described)
and $c$ = 3 (the y intercept of the graph) we get the equation:

$y = - \frac{1}{2} x + 3$