find an equation of the line passing through the point (5 4) and parallel to the line whose equation is y= 2x-6

Step-by-step explanation:

Given

Equation:

Required

Determine the equation of Point: (5,4)

First, we need to determine the slope of

The general form of an equation is

Where m represents the slope;

Hence;

Since the equation and the point are parallel. then they have the same slope (m).

Next, is to determine the equation of the point, using the following formula:

Where

So, the equation becomes

Cross Multiply

Open Bracket

Make y the subject of formula

Hence, the equation is

step-by-step explanation:

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