# How do you write an equation of a line given point (4,3) and slope 1/2?

Using the slope-intercept form, $y = m x + c$, we can just substitute in the value of the slope, $m = \frac{1}{2}$, and the $x$ and $y$ values of the given point, and find the value of $c$, the y-intercept:
$y = m x + c$ can be rearranged to make $c$ the subject: $c = y - m x = 3 - \left(\frac{1}{2}\right) 4 = 3 - 2 = 1$
The equation of the line, then, is $y = \frac{1}{2} x + 1$