Explanation:
A perpendicular line has a reciprocal and opposite slope. The slope of the given line is 1/2, its reciprocal is 2 and its opposite -2.
We'll have an equation like this:
[tex]y=-2x+b[/tex]To find the y-intercept b we have to use the point. Replace x = 7, y = 10 and solve for b:
[tex]\begin{gathered} 10=-2\cdot7+b \\ 10=-14+b \\ b=10+14 \\ b=24 \end{gathered}[/tex]Answer:
The equation is: y = -2x + 24
