To find the rate of change, we can use the formula:
Rate of change = (change in y) / (change in x)
For the given table, the change in x from one point to the next is always 1:
change in x = 2 - (-1) = 3
change in x = 5 - 2 = 3
The change in y from one point to the next is:
change in y = 70 - 80 = -10
change in y = 40 - 70 = -30
change in y = 10 - 40 = -30
So, the rate of change is:
Rate of change = (-10) / 3 = -10/3 or -3.33 (rounded to two decimal places)
The y-intercept is the value of y when x is equal to 0. Looking at the x-values in the table, we can see that there is no value for x = 0. Therefore, there is no y-intercept in this table.
The equation of the line can be determined using the slope-intercept form:
y = mx + b
where m is the slope (rate of change) and b is the y-intercept. Since we have the rate of change (-10/3) but no y-intercept, we cannot determine the equation of the line with the given table.
x -2 -1 2 5
y 80 70 40 10
Answer the questions using the table. (3 points) t
he rate of change =
the y−intercept =
the equation of the line is =
1 answer