Answer:
The equation y = (2/3)x - 1 describes the linear function.
Step-by-step explanation:
We know for a line y = mx + c, m stands for gradient or the slope of line.
C stands for y- intercept by the line.
When we analyse the graph y- intercept is (-1)
So c = -1
and this line passes through two points (3, 1) and (6, 3)
Therefore the slope this line = ![\frac{(y-y')}{(x-x')}](https://tex.z-dn.net/?f=%5Cfrac%7B%28y-y%27%29%7D%7B%28x-x%27%29%7D)
m = ![m=\frac{3-1}{6-3}=\frac{2}{3}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B3-1%7D%7B6-3%7D%3D%5Cfrac%7B2%7D%7B3%7D)
So by putting these values in the equation we can get the original equation.
![y=\frac{2}{3}x-1](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B2%7D%7B3%7Dx-1)