Question

Help 25 points

A line includes the points (10,6) and (2,7). What is its equation in point-slope form?
Use one of the specified points in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.

Answer 1

y = (-1/8)x + (29/4)

Explanation:

(10, 6), (2, 7)

(x₁, y₁) (x₂, y₂)

y₂ - y₁ 7 - 6 1 -1

m = ------------ = ----------- = ----------- = ---------

x₂ - x₁ 2 - 10 -8 8

y - y₁ = m(x - x₁)

y - 6 = (-1/8)(x - 10)

y - 6 = (-1/8)x + (5/4)

+6 +6

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y = (-1/8)x + (29/4)

I hope this helps!