Final answer:
To find the value of r that makes the slope equal to -1, we can use the formula for slope and solve for r. The final answer is r = 2.
Step-by-step explanation:
To find the value of r that makes the slope equal to -1, we can use the formula for slope: m = (y2 - y1) / (x2 - x1). In this case, the given points are (5, 3) and (6, r). Plugging the values into the formula, we have: -1 = (r - 3) / (6 - 5). Multiply both sides by (6 - 5) to isolate r. This gives us: -1 = (r - 3). Add 3 to both sides to solve for r. The final answer is r = 2.