Find the equation for the line that passes through the points ( 1 , 1 ) and ( − 5 , 6 ) . Give your answer in point-slope form. You do not need to simplify.

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Answer:

Step-by-step explanation:

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The equation of the line is y - 1 = ( 5/6)(x - 1 ).

What is the equation of a line passing through two points?

Suppose the given points are (x₁, y₁) and (x₂, y₂), then the equation of the straight line joining both two points is given by

[tex]\rm (y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)[/tex]

Write an equation for the trend line.

(x₁, y₁) → (1,1)

(x₂, y₂) → (-5,6)

Then we have

y - 1 = [ 6 - 1 ]/[-5-1](x - 1)

y - 1 = ( 5 / -6 )(x - 1)

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