SOLUTION: Find the value of p so that the line through (p,4) and (3, -1) has a slope of -5/8.

Algebra ->  Linear-equations -> SOLUTION: Find the value of p so that the line through (p,4) and (3, -1) has a slope of -5/8.      Log On


   



Question 1124499: Find the value of p so that the line through (p,4) and (3, -1) has a slope of -5/8.
Found 2 solutions by rothauserc, MathLover1:
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
slope = (y2 - y1)/(x2 - x1)
:
-5/8 = (-1 -4)/(3-p)
:
-5/8 = -5/(3-p)
:
cross multiply the fractions
:
-5(3-p) = -40
:
3-p = 8
:
*************
p = 3-8 = -5
*************
:
check the answer
:
(-1-4)/(3-(-5)) = -5/8
:
answer checks
:

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Find the value of p so that the line through (p,4) and (3, -1) has a slope of -5%2F8.
given:
point (x%5B1%5D,y%5B1%5D)=(p,4)
point (x%5B2%5D,y%5B2%5D)=(3,-1)
m=-5%2F8
use formula or slope:
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29....plug in given values
-5%2F8=%28-1-4%29%2F%283-p%29.......solve or p
-5%283-p%29=8%28-1-4%29
-5%283-p%29=8%28-5%29...simplify
-cross%285%29%283-p%29=8%28-cross%285%29%29
3-p=8
3-8=p
p=-5

so, (p,4)=(-5,4)

check the slope:
(-5,4) and (3, -1) and see if it has a slope of -5%2F8

Solved by pluggable solver: Finding the slope


Slope of the line through the points (-5, 4) and (3, -1)



m+=+%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29


m+=+%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+%28x%5B1%5D%29%29


m+=+%28-1+-+4%29%2F%283+-+%28-5%29%29


m+=+%28-1+-+4%29%2F%283+%2B+5%29


m+=+%28-5%29%2F%288%29


Answer: Slope is m+=+-5%2F8