Question

Which of these is a point-slope equation of the line that is perpendicular to y-3=4(x-10) and passes through (-3, 7)?

Answer 1

SOLUTION;

We want the point slope representation of line perpendicular to;

$y-3=4(x-10)$

and passes through ( -3,7)

The slope of the line given is 4. The slope of the perpendicular line is;

$m=-\frac{1}{4}$

The equation of the line is;

$\begin{gathered} y-7=-\frac{1}{4}(x--3) \\ y-7=-\frac{1}{4}(x+3) \end{gathered}$

Thus, the answer is Option B