Question

The slope of a line that is perpendicular to y = 12x + 4 is always:
Select one:
A. 12
B. -12
C. 1/12
D. -1/12

Answer 1

Cool, so the slope of this particular line is 12, right?

Answer 2

yea

Answer 3

Good, let's say that equals m. m = 12.
If we have another line that is perpendicular to the line in the problem, the slope of the perpendicular line is....
\[m(perpendicular) = -1/m\]

Answer 4

so its D -1/12?

Answer 5

yeap

Answer 6

keep in mind that, the slope of a line perpendicular to some other line, is always NEGATIVE RECIPROCAL to the slope of the other line, that is \(\bf \cfrac{a}{{\color{blue}{ b}}}\qquad reciprocal\implies \cfrac{{\color{blue}{ b}}}{a}\qquad negative\implies -\cfrac{{\color{blue}{ b}}}{a}\)

Answer 7

ok there is one more question can you help?

Answer 8

well, tis easy if you post anew, thus more exposure and we can revise each other