Question

What is the equation of a line passing through the point

(3, 2) and parallel to the line y = 5x = 4

Answer 1

`y=5x-13`

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

`y=5x+4`

This is the equation of the line in slope intercept form

The slope is
`m=5`

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
`m=5`

step 3

Find the equation of the line in point slope form

`y-y1=m(x-x1)`

we have

`m=5`

`point\ (3,2)`

substitute

`y-2=5(x-3)`

step 4

Convert to slope intercept form

`y=mx+b`

isolate the variable y

`y-2=5x-15`

`y=5x-15+2`

`y=5x-13`