Question

Graph equation Chose a graph that represents the given equation in the picture.

Answer 1

The general equation for a linear equation is:

$y=mx+b$

the y-intercept is b and m represents the slope.

the slope can be understood as the change in y over a specified interval in x

$m=\frac{\Delta y}{\Delta x}$

then, form the equation:

$y=\frac{2}{3}x+2$

we know that it needs to pass through the point (0,2) as the y-intercept and the slope is a positive, meaning that the line needs to be increasing as x gets bigger.

Answer:

The correct graph is the second option