Question

What is the equation of a line passing through the point

Answer 1

Answer:

$y=5x-13$

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

$y=5x+4$

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

$y-2=5x-15$

$y=5x-15+2$

$y=5x-13$