Answer: Choice C) -1/3
The given line has a slope of -1/3 so anything parallel to that given line is also going to have an equal slope (of -1/3)
To find the slope of that line shown, notice how we drop down 1 unit and the move to the right 3 units when we go from the left point to the right point. Alternatively, you can use the slope formula m = (y2-y1)/(x2-x1) to get the same result.
To measure George's rate of change, we first set out two pairs of independent and dependent data which in this case is the day number and the point
Independent Data: Day 2 Independent Data: Day 4
Dependent Data: 8 points Dependant Data: 12 points
Then we find the difference between the two independent values and the two dependent values
4 - 2 = 2
12 - 8 =4
To find the rate we use the following formula
the difference of dependent value ÷ the difference of independent value =
4 ÷ 2 = 2
Hence the average rate of change is an increase of 2 points a day
Given equation, y = – 1.3(x + 3)2 – 9 is in slope intercept form.
Step-by-step explanation:
Slope intercept form standard formula:
y = mx + c
where,
y= y intercept
x= x intercept
m = slope
c = constant
We are given:
y = - 1.3(x + 3)2 - 9
y = - 2.6x + 7.8 - 9
y = -2.6x -1.2
So,
Slope = m = -2.6
constant = 1.2