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Find the equation of the line parallel to y = 3x + 2 that passes through the point (2, 10).

User Suriyaa
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1 Answer

24 votes
24 votes

Answer:

y = 3x + 4

Explanation:

A parallel line has the same slope as the reference line.

y = mx + b (m is the slope and b is the y-intercept)

The reference line, y = 3x + 2, has a slope of 3.

We need another line of the form y = 3x + b, So all we need is a new b. Any value we choose for b will result in a straight line. But our line needs to go through point (2,10), so we need a specific value for b that will move the line to the appropriate position.

We can find b by entering the point and solving for b:

y = 3x + b (2,10)

10 = 3*(2) + b

b = 4

The equation becomes y = 3x + 4

Find the equation of the line parallel to y = 3x + 2 that passes through the point-example-1
User Duncan Thacker
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2.9k points