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37 votes
37 votes
What is the equation of the line that passes through the point (4,2) and is

parallel to the line represented by
y - 4 = 1/2(x + 3)?

User Sympatric Greg
by
2.5k points

2 Answers

25 votes
25 votes

Answer:


image

Explanation:

Find the slope of the original line and use the point-slope formula


image

to find the line parallel to


image.

User Desaray
by
2.9k points
16 votes
16 votes

Answer:

Explanation:

If they are parallel, that means the slope is the same. We can then use the slope point form: y - y1 = 1/2(x - x1) which is the form in the question as well.

Given that there is a point at (4,2), the equation of the line is then

y - 2 = 1/2(x-4)

User Sfosdal
by
3.3k points