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Find the equation of the line that passes through (4,4) and is parallel to y=2x+4. Leave your answer in the form​

User Reinherd
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2 Answers

21 votes
21 votes

Answer:

y = 2x - 4

Explanation:

Explanation is in the form.

Find the equation of the line that passes through (4,4) and is parallel to y=2x+4. Leave-example-1
User Hoangdv
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2.7k points
20 votes
20 votes

Answer:

y=2x-4

Explanation:

If a line is parallel to another line, the only thing that's different in the equation is the y-intercept. Therefore we can solve for the y-intercept using the point (4,4)...

Note that the slope-intercept equation is y=mx+b where b is the y-intercept and m is the slope. x and y are the x and y coordinate pairs.

y=2x+b

4=2(4)+b

4=8+b

b=-4

Therefore the equation of the line that is parallel to y=2x+4 and passes through (4,4) is...

y=2x-4

User Mark Zamoyta
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3.7k points