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What is the slope of a line that passes through (5, 2) and (8, 1)?

User Ory Band
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1 Answer

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How to work out slope of a line:

Take the y coordinate of the first point, and subtract it from the y coordinate of the the second point, like so:

y₁ - y₂ = 2 - 1

= 1

(note: y₁ is the y coordinate of the first point, and y₂ is the y coordinate of the second point)

Next, take the x coordinate of the first point and subtract it from the x coordinate of the second point, like so:

x₁ - x₂ = 5 - 8

= -3

(note: x₁ is the x coordinate of the first point, and x₂ is the x coordinate of the second point)

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Now to get the slope, all we do is divide the value of (y₁ - y₂) by (x₁ - x₂):


slope = (y1 - y2)/(x1-x2)


slope = (1)/(-3)


slope = -(1)/(3)

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Answer:

The slope of a line that passes through (5, 2) and (8, 1) is:


slope = -(1)/(3)

User Sergey  Telminov
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5.4k points