To find the slope between two points on a function, you can use the formula: slope = (change in y) / (change in x).
Given the two points (2, 7) and (5, 17), we can calculate the slope between them:
slope = (17 - 7) / (5 - 2)
slope = 10 / 3
We want the slope to be 53, so we can set up the equation:
53 = (y - 7) / (x - 2)
Now, we need to solve for y when x is 11:
53 = (y - 7) / (11 - 2)
To solve for y, we cross multiply:
53 * (11 - 2) = y - 7
53 * 9 = y - 7
477 = y - 7
y = 477 + 7
y = 484
Therefore, when x is 11, y will be 484.
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
1 answer
1 answer