What is an equation of the line that passes through the point ( 1 , − 2 ) (1,−2) and is parallel to the line 6 x + y = 9 6x+y=9?

Step-by-step explanation:

(a) Slope of parallel line

Your function is

6x + y = 9

       y = -6x + 9      Subtracted 6x from each side

slope = -6

The parallel line has slope = -6.

(b) Equation for parallel line

The point-slope formula for a straight line is

   y – y₁ = m(x – x₁)

x₁ = 1; y₁ = -2; m = -6  

y – (-2) = -6(x - 1)

   y + 2 = -6x + 6

         y = -6x + 4

The equation for the parallel line is  

The graph is a straight line that passes through (1, -2) and has a slope of -6.  

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step-by-step explanation:

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