The rate of change between points is simply the change in the y values over the x values.
The rate of change is 3/2 or 1.5
The points are given as:
[tex]\mathbf{(x_1,y_1) = (2,3)}[/tex]
[tex]\mathbf{(x_2,y_2) = (4,6)}[/tex]
The rate of change (m) is calculated using:
[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]
So, we have:
[tex]\mathbf{m = \frac{6 - 3}{4-2}}[/tex]
Simplify
[tex]\mathbf{m = \frac{3}{2}}[/tex]
Express as decimal
[tex]\mathbf{m = 1.5}[/tex]
Hence, the rate of change between the two points is 1.5 or 3/2
Read more about rates of change at:
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