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Write the equation of the line that passes through the given points.
​(​0,​2) and ​(-8​,-1​)

1 Answer

13 votes

Answer:

y =
(3)/(8) x + 2

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m =
(y_(2)-y_(1) )/(x_(2)-x_(1) )

with (x₁, y₁ ) = (0, 2 ) and (x₂, y₂ ) = (- 8, - 1 )

m =
(-1-2)/(-8-0) =
(-3)/(-8) =
(3)/(8)

The line crosses the y- axis at (0, 2 ) ⇒ c = 2

y =
(3)/(8) x + 2 ← equation of line

User Luz
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