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Write an equation through (2,9) and parallel to y=3x -2

User Yuhong Bao
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To find an equation of a line that is parallel to y = 3x - 2 and passes through the point (2, 9), you can use the fact that parallel lines have the same slope.

The slope of the line y = 3x - 2 is 3. So, the equation of the line parallel to it is:

y = 3x + b

Now, we can use the point (2, 9) to find the value of b:

9 = 3(2) + b
9 = 6 + b

To solve for b, subtract 6 from both sides:

b = 9 - 6
b = 3

So, the equation of the line parallel to y = 3x - 2 and passing through (2, 9) is:

y = 3x + 3
User Jmart
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