Line / has a slope of. The line through which of the following pair of points is perpendicular to /? A. (4, 6), (2, 2) B. (8,8), (2, 4) C. (8,2), (2,4) D. (6,2), (2, 4)

Question

asked Mar 6, 2023 213k views

1 Answer

Tibincrunch · Answer 1 · 2023-03-12T14:19:06+0000

Let
$A(x_A,\ y_A),\ B(x_B,\ y_B)$ . Then a slope of the line AB represent the formula:

m=(y_B-y_A)/(x_B-x_A)

Substitute the coordinate od the points to the formula of a slope.

$A.\\(4,\ 6),\ (2,\ 2)\\\\m=(2-6)/(2-4)=(-4)/(-2)\\\\\huge\boxed{m=2}$

$B.\\(8,\ 8),\ (2,\ 4)\\\\m=(4-8)/(2-8)=(-4)/(-6)\\\\\huge\boxed{m=(2)/(3)}$

$C.\\(8,\ 2),\ (2,\ 4)\\\\m=(4-2)/(2-8)=(2)/(-6)\\\\\huge\boxed{m=-(1)/(3)}$

$D.\\(6,\ 2),\ (2,\ 4)\\\\m=(4-2)/(2-6)=(2)/(-4)\\\\\huge\boxed{m=-(1)/(2)}$