SOLUTION: Find the slope of the line that goes through the points (-3,4) and (6,1). Explain in details please.

Algebra ->  Linear-equations -> SOLUTION: Find the slope of the line that goes through the points (-3,4) and (6,1). Explain in details please.       Log On


   

Question 1138986: Find the slope of the line that goes through the points (-3,4) and (6,1). Explain in details please.
Found 2 solutions by ikleyn, MathLover1:
Answer by ikleyn(53937) About Me  (Show Source):
You can put this solution on YOUR website!
.

The formula for the slope of a straight line passing through two given points    (x%5B1%5D,y%5B1%5D)    and    (x%5B2%5D,y%5B2%5D)    is

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



In your case  x%5B1%5D = -3,  y%5B1%5D = 4,  x%5B2%5D = 6,  y%5B2%5D = 1.



Substitute these values into the formula and calculate


m = %281-4%29%2F%286-%28-3%29%29 = %28-3%29%2F9 = -1%2F3.


Answer.  The slope is -1%2F3.

See the lesson
    - Find the slope of a straight line in a coordinate plane passing through two given points
in this site.



Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!



if line passes through (x%5B1%5D, y%5B1%5D)= (-3, 4) and (x%5B2%5D, y%5B2%5D)=(6,+1), use them to find a slope using following formula:

m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29...plug in given coordinates
m=%281-4%29%2F%286-%28-3%29%29
m=-3%2F%286%2B3%29
m=-3%2F9...simplify
m=-1%2F3
Answer: Slope is m=-1%2F3