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Slope of Line - Math 126










































Find the slope of the line passing through the points (0, -4) and (-6, 7)

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Mar 22, 2012
Slope of Line
by: Staff


Question:

Find the slope of the line passing through the points (0, -4) and (-6, 7)


Answer:

slope = “rise” over “run”, or “rise” DIVIDED BY “run”

slope = (change in “y” values)/(change in “x” values)

slope = (y₂ - y₁)/(x₂ - x₁)


The x-y coordinates of the two points are: (0, -4) and (-6, 7).


Note: These points are not listed in the proper order (left to right)

They should be listed (-6, 7) and (0, -4) because the slope will be calculated as the change of “y” when x increases. In this case “x” will increase from -6 to 0 (left to right).

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

Open the link shown below to view the two points and the line graph:

(1) If your browser is Firefox, click the following link to VIEW ; or if your browser is Chrome, Internet Explorer, Opera, or Safari (2A) highlight and copy the link, then (2B) paste the link into your browser Address bar & press enter:

Use the Backspace key to return to this page:

http://www.solving-math-problems.com/images/graph-Slope-of-Line-2012-03-22-01.png


Points

Left and Right

(-6, 7) and (0, -4)

(x₁, y₁) and (x₂,y₂)

x₁ = -6
x₂ = 0

y₁ = 7
y₂ = -4

slope = (y₂ - y₁)/(x₂ - x₁)

slope = (-4 - 7)/( 0 - (-6))

slope = (-11)/( 0 + (-1)*(-6))

slope = (-11)/( 6)

Slope = -11/6



The final answer to your question is: Slope = -11/6



Thanks for writing.

Staff
www.solving-math-problems.com



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