SOLUTION: If two points on a line have (x,y) coordinates of (N,0), and (3,-4), and slope of the line is N, what is the value of N? A) -2 B) -1 C) 1 D) 2

Algebra ->  Functions -> SOLUTION: If two points on a line have (x,y) coordinates of (N,0), and (3,-4), and slope of the line is N, what is the value of N? A) -2 B) -1 C) 1 D) 2      Log On


   

Question 1043141: If two points on a line have (x,y) coordinates of (N,0), and (3,-4), and slope of the line is N, what is the value of N?
A) -2
B) -1
C) 1
D) 2
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
If two points on a line have (x,y) coordinates of (N,0), and (3,-4), and slope of the line is N, what is the value of N?
:
Using the slope equation m = %28%28y2-y1%29%29%2F%28%28x2-x1%29%29
assign the values as follows
x1=n; y1=0
x2=3; y2=-4
m = n
:
n = %28%28-4-0%29%29%2F%28%283-n%29%29
n = %28-4%29%2F%28%283-n%29%29
multiply both sides by (3-n)
n(3-n) = -4
3n - n^2 = -4
Form a quadratic equation on the right
0 = n^2 - 3n - 4
Factors to
(n-4)(n+1) = 0
n = 4
and
n=-1
The answer has to be B, however, n=4 will also work