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Slope Passing Through Two Points











































Find the Slope

   • Given the following two points

           (-3, -10)

           (4, 5)

   • Find the slope of a straight line passing through the points

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Oct 15, 2012
Slope of Line Between Two Points
by: Staff


Answer:


Slope of Line Between Two Points

slope = "rise" over "run", or "rise" DIVIDED BY "run"

slope = (change in "y" values)/(change in "x" values)

slope = Δy / Δx

slope = (y₂ - y₁)/(x₂ - x₁)



The x-y coordinates of the two points are (-3, -10) and (4, 5).


These points are already listed in the proper order (left to right)

They are listed properly as (-3, -10) and (4, 5) because the slope will be calculated as the change of "y" when x increases. In this case "x" will increase from -3 to 4 (left to right).



It is worth plotting the two points so the position of each can be visualized.

Math – Slope of line Passing Through Two Points







Calculation of the slope

Points: Left and Right

(-3, -10) and (4, 5)

(x₁, y₁) and (x₂,y₂)

x₁ = -3
x₂ = 4

y₁ = -10
y₂ = 5

slope = (y₂ - y₁)/(x₂ - x₁)

slope = [5 - (-10)]/[4 - (-3)]

slope = (5 + 10)/(4 + 3)

slope = (15)/(7)

slope = 15/7



Final Answer:


                 slope = 15/7



Thanks for writing.

Staff
www.solving-math-problems.com


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