Answer
The slope of the line is $\frac{1}{2}$ and the y-intercept is (0,$\frac{7}{2}$).
Work Step by Step
We are given that $2y-7=x$. We can transform this line into the slope-intercept form $y=mx+b$, where m is the slope of the line and the point (0,b) is the y-intercept.
First, add 7 to both sides.
$2y=x+7$
Divide both sides by 2.
$y=\frac{1}{2}x+\frac{7}{2}$
$m=\frac{1}{2}$ and $b=\frac{7}{2}$
Therefore, the slope of the line is $\frac{1}{2}$ and the y-intercept is (0,$\frac{7}{2}$).