Final answer:
To determine which points have a slope of 3/4, use the slope formula m = (Y2 - Y1) / (X2 - X1) on each pair of points and see if the result equals 3/4.
Step-by-step explanation:
The question is about determining which of the given points have a slope of 3/4. To find the slope between two points, you can use the slope formula m = (Y2 - Y1) / (X2 - X1), where (X1, Y1) and (X2, Y2) are two different points on a line. If the calculated slope equals 3/4, then those two points have the desired slope.
For example, let's calculate the slope for the first two ordered pairs: (294.5, 61) and (364, 70). Using the slope formula, we get:
m = (70 - 61) / (364 - 294.5) which simplifies to m = 9 / 69.5 which further simplifies to m = 0.1295, which is not 3/4. Therefore, these two points do not have a slope of 3/4.
Following the same process, you would compare the other pairs of points to see if their slope equals 3/4. Only the pairs with a slope of 3/4 satisfy the condition posed by the student's question.