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11 votes
11 votes
Find the slope of the line through each pair of points 8,4 2,6?

User Sean McCarthy
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1 Answer

15 votes
15 votes

Answer: slope = - ¹/₃

Step-by-step explanation:

The question gives us two points, (8, 4) & (2, 6), from which we can find the slope and later the equation of the line.

Finding the Slope

The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)

= (6 - 4) ÷ (2 - 8)

= - ¹/₃

Checking my answer:

Finding the Equation

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:

⇒ y - 4 = - ¹/₃ (x - 8)

To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.

Find the slope of the line through each pair of points 8,4 2,6?-example-1
User Girish Chaudhari
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3.0k points