Question

Line l has a slope of 12. The line through which of the following pair of points is perpendicular to l?

Answer 1

Answer:

C. $(-4,5),(2,-7)$

Step-by-step explanation:

Look at the image below.

Answer 2

The line passes through points (-4, 5) and (2, -7)  is perpendicular to line l. Option c is correct.

Line l has a slope($m_1$) of 1/2. A pair of points to determine that the line passes that point is perpendicular to the line l.

What is a Line??

A line can be defined by the shortest distance between two points is called a line.

Here, The slope of the perpendicular line($m_2$)  to the line l(slope $m_1$).
$m_1m_2=-1$
Since $m_1=1/2$
$1/2*m_2=-1\\m_2=-2$
Now from the pairs given, the slope must be equal to -2.
It clearly seems that the slope of pairs (-4, 5) and (2, -7) is -2 i.e.
$m_2=-7-5/2+4\\m_2=-12/6\\m_2=-2$

Thus, the line passes through points (-4, 5) and (2, -7)  is perpendicular to line l.

Learn more about lines here:

brainly.com/question/2696693

#SPJ5