Final answer:
To find the equation of a line parallel to another line, use the fact that parallel lines have the same slope. Use the point-slope form and substitute the given point to find the equation of the line.
Step-by-step explanation:
To find the equation of a line parallel to another line, we need to use the fact that parallel lines have the same slope. In this case, line q has a slope of 16. Since line r is parallel to q, it will also have a slope of 16.
Since line r passes through the point (6,2), we can use the point-slope form of a linear equation to find its equation. The point-slope form is given by y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. Substituting the values, we get y - 2 = 16(x - 6).
Simplifying the equation gives us the equation of line r as y = 16x - 94.