Final answer:
To find the missing coordinate r for a point that lies on a line with a slope of 4, we use the slope formula, leading to the solution r = 2.
Step-by-step explanation:
The student is asking to find the missing coordinate r for a point that lies on a line with a given slope. To solve this, we can use the formula for the slope of a line between two points, which is (y2 - y1) / (x2 - x1). In this case, the known points are (-5,1) and (r,29) and the slope is 4. We can set up the equation as follows:
4 = (29 - 1) / (r - (-5))
4 = 28 / (r + 5)
Now, we multiply both sides by (r + 5) to solve for r:
4(r + 5) = 28
4r + 20 = 28
Subtract 20 from both sides:
4r = 8
Divide both sides by 4:
r = 2
Therefore, the missing coordinate r is 2.