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Find the equation of the line passing through (4, 4) and parallel to the line y = 3x - 3

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ANSWER

y = 3x - 8

Step-by-step explanation

We want to find the equation of the line that passes through (4, 4) and is parallel to the line:

y = 3x - 3

When a line is parallel to another line, they have an equal slope.

The general form of a linear equation is:

y = mx + c

where m = slope

c = y intercept

This means that the given line (y = 3x - 3) has a slope of 3. Therefore, the slope of the line we are looking for is 3.

Now, we can apply the point-slope method to find the equation of the line:

y - y1 = m(x - x1)

where (x1, y1) is the point the line passes through

Therefore:

y - 4 = 3(x - 4)

y - 4 = 3x - 12

=> y = 3x - 12 + 4

y = 3x - 8

That is the equation of the line.

User RKelley
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