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
?

1 answer

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.
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