x y
-2 80
-1 70
2 40
5 10
Answer the questions using the table (3 points)
the rate of change is
the y-intercept is
the equation of the line is
To find the rate of change, we need to calculate the difference in the y-values divided by the difference in the x-values for any two points. Let's choose the points (-2, 80) and (5, 10) for this calculation:
Rate of change = (change in y) / (change in x) = (10 - 80) / (5 - (-2)) = (-70) / (7) = -10
Therefore, the rate of change is -10.
To find the y-intercept, we need to identify the value of y when x = 0. From the given table, we can see that when x = 0, y is not listed. Therefore, we cannot determine the y-intercept from the given information.
Since we do not have the y-intercept, we cannot determine the equation of the line. The equation of a line in slope-intercept form (y = mx + b) requires both the slope (rate of change) and the y-intercept.