Final answer:
To calculate the slope of the secant line PQ, one needs the coordinates of point P. Assuming P has coordinates (x1, y1), the slope m is calculated using the formula m = (y2 - y1) / (x2 - x1), where Q's coordinates are (x, 35 - x).
Step-by-step explanation:
The student's question is asking to find the slope of the secant line PQ for the given point Q (x, 35 - x), which indicates a need to explore the principles of slope calculation in coordinate geometry. However, the information provided seems to mix the context of the slope of a tangent to a curve, but the point Q is given in the format of a straight line, not a curve. Therefore, we will proceed by assuming you are looking for the slope of a line passing through point Q and another unspecified point P.
To find the slope of line PQ, we would need the coordinates of another point P to use in the slope formula. Assuming P has coordinates (x1, y1) and Q has coordinates (x2, y2) where x2 = x and y2 = 35 - x, the slope m would be calculated using:
m = (y2 - y1) / (x2 - x1)