Question

PLEASE HELP ME. I AM IN DESPERATE NEED OF HELP.

Answer 1

Find the values of k if the line through the points (-2, K+3) and (2,0) is perpendicular to the line (5,2) (k-4,-2)

Answer 2

The slopes of two perpendicular lines are negative reciprocals. That means that when you multiply the slopes together, you get -1.
Using the slope formula, write the slope of the first set of points in terms of k.
Then using the slope formula again, write the slope of the second set of points in terms of k.
Then multiply the slopes together and set that equal to -1.
Then solve for k.

Answer 3

uhm.. can you show me step by step please?

Answer 4

The slope formula is:
For points (x1, y1) and (x2, y2), the slope of the line through those points is
m = (y2 - y1) / (x2 - x1)
That means, subtract the y coordinates and set that over the subtraction of the x coordinates. Can you try that with points (-2, k+3) and (2,0)?

Answer 5

i got 0-(k+3)/4 and -4/(k-4)-5

Answer 6

Good so far, but they can be simplified a little:
(0 - (k + 3) )/4 = (-k - 3)/4
-4/(k-4)-5 = -4/(k - 9)
Now multiply them together and set that equal to -1

Answer 7

well.. i cross multiplied but i dont think i got the right answer.. -4k+36=-4k+16+20

Answer 8

\[\frac{ -4 }{ k-9 }=\frac{ -k-3 }{ 4? }\]
Since the slope of one line has to be the negative reciprocal of the of the line, invert either side and multiply it by -1.

you should get k=3

Forget the ? after the 4