To find the rate of change, we need to calculate the change in y divided by the change in x.
Change in y = 10 - 80 = -70
Change in x = 5 - (-2) = 7
Rate of change = (-70)/7 = -10
To find the y-intercept, we look at the point where x = 0. In this case, we don't have any data for x = 0, so we cannot determine the y-intercept.
The equation of the line can be found using the point-slope form: y - y1 = m(x - x1), where m is the rate of change and (x1, y1) is a point on the line.
Using the point (-2, 80), we have:
y - 80 = -10(x - (-2))
y - 80 = -10(x + 2)
y - 80 = -10x - 20
y = -10x + 60
Therefore, the equation of the line is y = -10x + 60.
(-2,80)
(-1,70)
(2,40)
(5,10)
Answer the questions using the table.
The rate of change =_
The y-intercept= _
The equation of the line is _
1 answer
3 answers