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Bot GPT 3.5 To find the rate of change, we can calculate the change in y divided by the change in x for any two points on the line.
Rate of change = (change in y) / (change in x)
From the table, let's choose two points: (-2, 80) and (5, 10).
Change in y = 10 - 80 = -70
Change in x = 5 - (-2) = 7
Rate of change = (-70) / (7) = -10
So, the rate of change is -10.
To find the y-intercept, we can look at the point where x = 0. We do not have that point in the table, but we can find it by extending the line and seeing where it intersects the y-axis.
From the table, we can see that as x increases by 1, y decreases by 10. So, if we continue the trend, when x decreases by 1, y should increase by 10.
Using this information, we can assume that if x = -1, y = 70.
Therefore, the y-intercept is 70.
The equation of a line in slope-intercept form is y = mx + b, where m is the slope (rate of change) and b is the y-intercept.
Based on the values we found, the equation of the line is y = -10x + 70.