To find the rate of change, we need to calculate the change in y divided by the change in x:
Rate of change = (change in y) / (change in x)
Using the table, we can see that the change in y is 80 - (-2) = 82 and the change in x is 5 - (-2) = 7.
Rate of change = 82 / 7 = 11.71 (rounded to two decimal places)
To find the y-intercept, we look for the value of y when x = 0. From the table, we can see that when x = 0, y = 10. Therefore, the y-intercept is 10.
Finally, we can write the equation of the line using the slope-intercept form:
y = mx + b
where m is the slope (rate of change) and b is the y-intercept:
y = 11.71x + 10
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
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