What is the equation of a line passing through the point
(3, 2) and parallel to the line y = 5x = 4

Step-by-step explanation:

The correct question is

What is the equation of a line passing through the point  (3, 2) and parallel to the line y=5x+4

step 1

Find the slope of the given line

we have

This is the equation of the line in slope intercept form

The slope is

step 2

Find the slope of the line parallel to the given line

we know that

If two lines are parallel, then their slopes are equal

so

The slope  is  

step 3

Find the equation of the line in point slope form

we have

substitute

step 4

Convert to slope intercept form

isolate the variable y

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