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.