Answer
$y=2x+4$
Work Step by Step
Target: $y=mx+b,$ (find m and b).
Slope: Our line has the same slope as the given line since they are parallel.
Rewrite the given line in slope-intercept form.
$4x-2y=11\qquad/-4x$
$-2y=-4y+11\qquad/\div(-2)$
$y=2x-\displaystyle \frac{11}{2}$
the slope we are after is $m=2$
Intercept:
The form of our linear equation is $y=2x+b$
To find b, substitute the coordinates of the given point and solve for b.
$5=2(0.5)+b$
$5=1+b\qquad/-1$
$4=b$
Thus,
$y=2x+4$
