Question

how to find RATE OF CHANGE between 2 points?

Answer 1

such as (-4,-2) or (-2,1)

Answer 2

For two points at (x1,y1) and (x2,y2), respectively, the rate of change is equal to the slope of the shortest possible line segment connecting the two points. This slope can be calculated by the following equation: m = (y2-y1)/(x2-x1)

Answer 3

i dont have enough numbers though to use that equation

Answer 4

this is what it looks like

Answer 5

ohh! idk how to do that part! sowwiee <3

Answer 6

you do have enough points to use that equation. [-4, -2] is an interval, not a point. They're saying find the slope between the points where x = -4 and x = -2.

What is the y-value when x = -4, and what is it for x = -2?

Answer 7

y= -12 when x= -4, and y= 0 when x= -2

Answer 8

ok. so the points are (-4, -12) and (-2, 0).
\[ROC=\frac{ y _{2}-y _{1} }{ x _{2} -x _{1}}=\frac{ 0-(-12) }{ -2-(-4) }\]

Answer 9

and that equals 6 right

Answer 10

i cant get an equal answer when i try to do (-2,1)

Answer 11

yes it's 6.
Can you show me what you did for [-2, 1]?

Answer 12

ohhh i accidentally put exponents , i now got 1

Answer 13

thank you

Answer 14

yes that's right. You're welcome