Final answer:
To find the equation of line q, which is parallel to line p, we can use the fact that parallel lines have the same slope. Line p has a slope of 1/4, so line q will also have a slope of 1/4. We are also given that line q includes the point (6, -3). T The equation of line q is y = 1/4x - 9/2.
Step-by-step explanation:
To find the equation of line q, which is parallel to line p, we can use the fact that parallel lines have the same slope. Line p has a slope of 1/4, so line q will also have a slope of 1/4. We are also given that line q includes the point (6, -3). Using the point-slope form of a linear equation, we can plug in the slope and the coordinates of the point to find the equation of line q:
y - y1 = m(x - x1)
y - (-3) = 1/4(x - 6)
y + 3 = 1/4x - 3/2
y = 1/4x - 3/2 - 3
y = 1/4x - 9/2
Therefore, the equation of line q is y = 1/4x - 9/2.