Fill in the blanks such that the function in the table has a slope of 53 (2 points)
x y 2 7 5 17 11 22
To find the slope of a linear function, we can use the slope formula, which is (change in y)/(change in x).
We are given the following points on the table:
x
2
5
11
y
7
17
22
To find the slope between the points (2, 7) and (5, 17), we use the formula:
slope = (change in y)/(change in x)
= (17 - 7)/(5 - 2)
= 10/3
Since we want the slope to be 53, we can set up the following equation:
10/3 = 53
To solve for the change in y between the points (5, 17) and (11, 22), we can use the slope formula again:
slope = (change in y)/(change in x)
53 = (22 - 17)/(11 - 5)
53 = 5/6
Since this equation is not true, it is not possible to fill in the blanks with a pair of values for x and y such that the function in the table has a slope of 53.