Question

Find the value B, given that the line passing through the points (2,3) and (B,-1) is perpendicular to a line with slope 2.

• A. -10
• B. 10
• C. 6

Answer 1

The correct option is B 10

Since the line is perpendicular to the line with slope 2, the slope of the required line would be negative reciprocal of 2.

Slope of the required line $=\frac{-1}{2}$

x	y
2	3
B	-1

Slope $=\frac{-1-3}{B-2}=\frac{-1}{2}$

$\frac{-4}{B-2}=\frac{-1}{2}$

$B-2=8$

$B=10$