Final answer:
To find the equation of a line parallel to y=3x - 4 and passing through (2,8), we use the fact that parallel lines have the same slope. By substituting the coordinates of the given point (2,8) into the equation, we find that the equation of the parallel line is y=3x + 2.
Step-by-step explanation:
The equation of a line parallel to y=3x - 4 and passing through (2,8) can be found by using the fact that parallel lines have the same slope. Given the equation y=3x - 4, we know that the slope is 3. Therefore, the equation of the parallel line can be written as y=3x + b, where b is the y-intercept. To find the value of b, we substitute the coordinates of the given point (2,8) into the equation: 8=3(2) + b. Solving for b gives us b=2. Therefore, the equation of the line parallel to y=3x - 4 and passing through (2,8) is y=3x + 2.