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Write the equation of the line that passes through the given points: (-2, -6) and (1,2)

User Gianpi
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1 Answer

3 votes

Answer:

the equation of the line is,

y = 8/3x - 2/3

Explanation:

general equation of the line is, y = mx + b

where slope, m = y2 - y1 / x2 - x1

and b is the constant

from the given points,

m = 2 + 6 / 1 + 2 = 8/3

let's take any point to find b, i am taking (-2, -6) as (x, y) co-ordinates:

-6 = 8/3(-2) + b

-6 = -16/3 + b

b = -6 + 16/3 = -18 + 16 / 3 = -2/3

thus, the equation of the line is,

y = 8/3x - 2/3

User HHK
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