Question

Which equation matches the graph?

Answer 1

y=3x+2
the slope is 3 cause the rise is 3 and the run is 1

Answer 2

The equation that matches the graph of the function is:

`y=3x+2`

Explanation:

By looking at the graph of the function we observe that the graph is increasing continuously with the increasing value of x this means that the line has a positive slope.

Also, the equation of the line passes through the point:

(-1,-1) , (0,2) and (1,5)

We will find the equation of line with the help of two passing through points (0,2) and (1,5) as follows:

`y-2=\frac{5-2}* (x-0)\\\\i.e.\\\\y-2=(3)/(1)* x\\\\i.e.\\\\y-2=3x\\\\i.e.\\\\y=3x+2`