Final answer:
To find the required value of r, apply the slope formula with the given points and slope, which gives a result of r = 5, corresponding to option C. r = 5/2.
Step-by-step explanation:
To find the value of r for the line that passes through the points (1, 2) and (3, r) with a slope of 3/2, use the slope formula m = (y2 - y1) / (x2 - x1).
Given the slope, plug in the values to get 3/2 = (r - 2) / (3 - 1).
Solve for r by multiplying both sides by 2 (the denominator on the right side) to get 3 = r - 2 and then add 2 to both sides to find r = 5.
So, the correct answer is C. r = 5/2.
Slope is a measure of the steepness or incline of a line. It describes the rate at which one variable changes in relation to another variable.
Find the value of r so the line that passes through each pair of points (1, 2) and (3, r) has the given slope of 3/2.
A. r = 3/2
B. r = 2/3
C. r = 5/2
D. r = 2/5