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Sever21 [200]
3 years ago
13

Complete the point-slope equations of the line through (3,6) and (5,-8). Use exact numbers.

Mathematics
1 answer:
s2008m [1.1K]3 years ago
7 0

Answer:

y - 6 = - 7(x - 3)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (3, 6) and (x₂, y₂ ) = (5, - 8)

m = \frac{-8-6}{5-3} = \frac{-14}{2} = - 7

Use either of the 2 points for (a, b)

Using (3, 6), then

y - 6 = - 7(x - 3) ← in point- slope form

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