Answer
$y+\frac{1}{2}x=1$
Work Step by Step
First, put $2x+4y=9$ into slope-intercept form.
$4y=-2x+9$
$y=-\frac{1}{2}x+\frac{9}{4}$
The slope is $-\frac{1}{2}$.
Substitute the ordered pair and the slope into point-slope form.
$y+2=-\frac{1}{2}(x-6)$
$y+\frac{1}{2}x=1$
