Question

What is the rate of change between `(6,-3)` and `(8,-2)`?

Answer 1

`1/2`

Explanation:

Assuming linear relation or direct relation between two variables `x` & `y`,

The rate of change between the points `(x_1, y_1)\equiv(6, -3)` & `(x_2, y_2)\equiv(8, -2)` is the slope `dy/dx` of line joining given points which is given as

`dy/dx=\frac{y_2-y_1}{x_2-x_1}`

`=\frac{-2-(-3)}{8-6}`

`=\frac{1}{2}`

Answer 2

`1/2`

Explanation:

`"the rate of change is the slope (m) of the line joining "`
`"the 2 points"`

`"to calculate m use the "color(blue)"gradient formula"`

`•color(white)(x)m=(y_2-y_1)/(x_2-x_1)`

`"let "(x_1,y_1)=(6,-3)" and "(x_2,y_2)=(8,-2)`

`m=(-2-(-3))/(8-6)=1/2`