SOLUTION: determine the slope of the line that passes through the points at (-1,5) and (-4,10)

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Question 1144275: determine the slope of the line that passes through the points at (-1,5) and (-4,10)
Answer by ikleyn(52790) 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 = -1,  y%5B1%5D = 5,  x%5B2%5D = -4,  y%5B2%5D = 10.



Substitute these values into the formula and calculate


m = %2810-5%29%2F%28-4-%28-1%29%29 = 5%2F%28-3%29 = -5%2F3.


Answer.  The slope is  -5%2F3.

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

From this lesson,  learn the subject once and for all.


As a bonus for you,  consider other closely related lessons in this site
    - Find the slope of a straight line in a coordinate plane passing through two given points
    - Equation for a straight line having a given slope and passing through a given point
    - Solving problems related to the slope of a straight line
    - Equation for a straight line in a coordinate plane passing through two given points
    - Equation for a straight line parallel to a given line and passing through a given point
    - Equation for a straight line perpendicular to a given line and passing through a given point

You have a happy opportunity to learn the entire subject from the compact and clearly written source.

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