Answer:
[tex]y=\frac{-1}{2}x +\frac{5}{2}[/tex]
Step-by-step explanation:
Slope intercept form looks like y=mx+b
The slope (m) needs to be the opposite reciprocal of 2, because the line needs to be perpendicular the given line. Therefore, m = -1/2
We can write the equation in point-slope form first because we're given a point and now we have the slope. The equation would be [tex]y-0=\frac{-1}{2} (x-5)[/tex]
Rewriting, we get [tex]y=\frac{-1}{2}x +\frac{5}{2}[/tex]
