Find the equation of the line that is parallel y= 2x+10 and passes through the point (6,-4)

The equation of the parallel line to the given line

y = 2 x - 16

Step-by-step explanation:

Step(i):-

Given equation of the straight line y = 2 x +10

                                             2x - y + 10 =0

The equation of the parallel line to the given line is

           a x + by + k=0

The equation of the parallel line to the given line is

           2x - y + k=0

Step(ii):-

Given point ( 6,-4)

The equation of the parallel line to the given line is

           2x - y + k=0

This line passing through the point ( 6,-4)

           2(6) - (-4)+ k=0

          12 + 4 +k =0

           16 + k=0

                k = -16

Final answer:-

The equation of the parallel line to the given line

y = 2 x - 16

77

step-by-step explanation:

it is contrapositive

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