SOLUTION: Find the gradient of the line joining each of the following points *(2,3)and(4,7) (-1,3) and (5,4) (-5,-5) and (-7,-5).

Algebra ->  Linear-equations -> SOLUTION: Find the gradient of the line joining each of the following points *(2,3)and(4,7) (-1,3) and (5,4) (-5,-5) and (-7,-5).       Log On


   

Question 1183814: Find the gradient of the line joining each of the following points *(2,3)and(4,7)
(-1,3) and (5,4)
(-5,-5) and (-7,-5).


Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Find the gradient of the line joining each of the following points
the gradient of the line is a slopem
(2,3) and (4,7)
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
m=%287-3%29%2F%284-2%29
m=4%2F2
m=2


(-1,3) and (5,4)
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
m=%284-3%29%2F%285-%28-1%29%29
m=1%2F%285%2B1%29
m=1%2F6


(-5,-5) and (-7,-5)
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
m=%28-5-%28-5%29%29%2F%28-7-%28-5%29%29
m=%28-5%2B5%29%2F%28-7%2B5%29
m=0%2F%28-2%29
m=0+ ->a zero slope has a horizontal line

Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
.

In this problem  (the case of straight lines in  2D  coordinate plane),  GRADIENT is the same as  SLOPE:

these conceptions/notions are synonymous.


On calculating slopes,  see the lesson
    - Find the slope of a straight line in a coordinate plane passing through two given points
in this site.


Calculate the gradient  IN  THE  SAME  WAY  as you calculate slope.