Final answer:
The slope of the line that passes through the points T(3, 2) and V(4, 6) is calculated using the slope formula Δy/Δx and results in a slope of 4, which is option (a). Option A is correct.
Step-by-step explanation:
To determine the slope of the line that passes through two points, you use the formula Δy/Δx, which is the change in y divided by the change in x. For the points T(3, 2) and V(4, 6), we calculate it as follows:
Find the change in y, which is 6 - 2 = 4.
Find the change in x, which is 4 - 3 = 1.
Divide the change in y by the change in x to get the slope: 4 / 1 = 4.
The slope of the line that contains the points T(3, 2) and V(4, 6) is 4, which corresponds to option (a).
To determine the slope of a line that contains the given points T(3, 2) and V(4, 6), we can use the formula for slope:
slope = (change in y-coordinates)/(change in x-coordinates)
Substituting the coordinates of the given points, we have:
slope = (6 - 2)/(4 - 3) = 4/1 = 4
Therefore, the slope of the line is 4.