the top right graph is the graph of the given equation
The equation of a line in ' slope- intercept form ' is
y = mx + c → (mis the slope and c the y-intercept
y = [tex]\frac{2}{3}[/tex] x - 2 is in this form
Note if m is positive the line slopes upwards from left to right and if m is negative the line slopes downwards from left to right
here m = [tex]\frac{2}{3}[/tex] so line must slope upwards from left to right
That restricts the choice to the 2 graphs on the right
here c = -2 , that is the y-intercept is - 2
Which is the graph on the top right
