SOLUTION;
We want the point slope representation of line perpendicular to;
[tex]y-3=4(x-10)[/tex]
and passes through ( -3,7)
The slope of the line given is 4. The slope of the perpendicular line is;
[tex]m=-\frac{1}{4}[/tex]
The equation of the line is;
[tex]\begin{gathered} y-7=-\frac{1}{4}(x--3) \\ y-7=-\frac{1}{4}(x+3) \end{gathered}[/tex]
Thus, the answer is Option B
