x y
-2 80
-1 70
2 40
5 10
Answer the questions using the table.
the rate of change =
the y−intercept =
the equation of the line is
To find the rate of change, we need to calculate the difference in y-values divided by the difference in x-values.
For the given points (-2, 80) and (-1, 70), the change in y is 70 - 80 = -10 and the change in x is -1 - (-2) = 1. Therefore, the rate of change is -10/1 = -10.
The y-intercept is the value of y when x equals zero. However, there is no point (0, y) given in the table. So, we cannot determine the y-intercept from the table.
To find the equation of the line, we need to use the slope-intercept form: y = mx + b, where m is the slope (rate of change) and b is the y-intercept.
Since we know the rate of change is -10, we have y = -10x + b. Without knowing the y-intercept, we cannot write the complete equation of the line.