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Write an equation of the line passing through the point (6,-2) that is parallel to the line y = 4x - 11

User Eukras
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4 votes

Answer:

The equation of the line passing through the point (6,-2) that is parallel to the line y=4x-11 is y = 4x - 26

The equation of the linear passes through the point (6, -2) and is parallel to the line y = 4x - 11

Parallel lines have the same slope.

Therefore,

y = 4x - 11

using

y = mx + b

where

m = slope

b= y-intercept

Therefore, the slope of y = 4x - 11 is 4.

And the slope of the other line will be 4 because they are parallel.

Therefore,

y = mx + b

y = 4x + b

it passes through (6, -2)

-2 = 6(4) + b

-2 - 24 = b

b = -26

The equation will be y = 4x - 26

User Vance
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