Respuesta :
What they want here is the slope of the line through (1,7) and (-3,9)
Using the slope formula, we get...
m = (y2-y1)/(x2-x1)
m = (9-7)/(-3-(-1))
m = (9-7)/(-3+1)
m = 2/(-2)
m = -1
So the answer must be choice D) -1
If you draw a line through these two points, the line will slope downward (move from left to right). Each time you go down 1, you go to the right 1.
Using the slope formula, we get...
m = (y2-y1)/(x2-x1)
m = (9-7)/(-3-(-1))
m = (9-7)/(-3+1)
m = 2/(-2)
m = -1
So the answer must be choice D) -1
If you draw a line through these two points, the line will slope downward (move from left to right). Each time you go down 1, you go to the right 1.
Answer:
The correct option is 4. The average rate of change from x = −1 to x = −3 is -1.
Step-by-step explanation:
It is given that the graph of parabola going through (-1,7) and (-3,9).
It means the value of at x=-1 is 7.
[tex]f(-1)=7[/tex]
The value of at x=-3 is 9.
[tex]f(-3)=9[/tex]
The slope of a function f(x) for the interval [a,b] is
[tex]m=\frac{f(b)-f(a)}{b-a}[/tex]
We have to find the average rate of change from x = −1 to x = −3. Here a=-1 and b=-3. So the average rate of change from x = −1 to x = −3 is
[tex]m=\frac{f(-3)-f(-1)}{-3-(-1)}[/tex]
[tex]m=\frac{9-7}{-3+1}[/tex]
[tex]m=\frac{2}{-2}[/tex]
[tex]m=-1[/tex]
The average rate of change from x = −1 to x = −3 is -1. Therefore the correct option is 4.
