To determine the rate of change, you need to calculate the difference in y-values divided by the difference in x-values. Let's calculate the rate of change using the given points:
Rate of change = (Change in y) / (Change in x)
Rate of change between the points (x=-2, y=80) and (x=-1, y=70):
Change in y = 70 - 80 = -10
Change in x = -1 - (-2) = 1
Rate of change = (-10) / (1) = -10
Rate of change between the points (x=2, y=40) and (x=-1, y=70):
Change in y = 40 - 70 = -30
Change in x = -1 - 2 = -3
Rate of change = (-30) / (-3) = 10
Rate of change between the points (x=5, y=10) and (x=2, y=40):
Change in y = 10 - 40 = -30
Change in x = 2 - 5 = -3
Rate of change = (-30) / (-3) = 10
Therefore, the rate of change is -10 from the first pair of points and 10 from the other two pairs of points.
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To find the y-intercept, you need to identify the value of y when x is equal to zero. Unfortunately, the table does not provide a point with x=0. Therefore, we cannot determine the y-intercept based on the given table.
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The equation of a line can be determined using the slope-intercept form: y = mx + b, where m is the rate of change (slope) and b is the y-intercept. Since we were unable to determine the y-intercept, we cannot determine the equation of the line based on the given table.
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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