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Which choice is the equation of a line that passes through (9, -3) and is parallel to the line represented by this equation? y=5/3x-4

User Lucile
by
7.9k points

1 Answer

3 votes

Answer:


y+3=(5)/(3)(x-9) or
y=(5)/(3)x-18

Explanation:

step 1

Find the slope of the line parallel to the given line

we know that

If two lines are parallel, then their slopes are the same

we have


y=(5)/(3)x-4

therefore

The slope m of the line parallel to the given line is


m=(5)/(3)

step 2

Find the equation of the line in point slope form


y-y1=m(x-x1)

we have


m=(5)/(3)


point\ (9,-3)

substitute


y+3=(5)/(3)(x-9) ----> equation of the line in point slope form

step 3

Find the equation of the line in slope intercept form


y=mx+b

we have


y+3=(5)/(3)(x-9)

Isolate the variable y


y+3=(5)/(3)x-15


y=(5)/(3)x-15-3


y=(5)/(3)x-18

User Markusjm
by
8.2k points

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