x y

-2 80
-1 70
2 40
5 10

Answer the questions using the table. (3 points) the rate of change = the y−intercept = the equation of the line is

1 answer

To find the rate of change, we can calculate the difference in y-values (Δy) and divide it by the difference in x-values (Δx) for any two points on the line.

For example, using the first two points (-2, 80) and (-1, 70):
Δy = 70 - 80 = -10
Δx = -1 - (-2) = 1
Rate of change = Δy/Δx = -10/1 = -10

As for the y-intercept, it is the value of y when x equals 0. Looking at the table, we can see that at x = 0, y is not given. Therefore, we cannot determine the y-intercept from the given data.

Without the y-intercept, we cannot find the equation of the line accurately using only the given data points.