we have
\(y=3x-2\)
we know that
this is the equation of a line, to identify which is the graph we will proceed to determine the points of intersection with the coordinate axes
1) Find the y-intercept
the y-intercept is when the value of x is equal to zero
For \(x=0\)
find the value of y
\(y=3*0-2\)
\(y=-2\)
2) Find the x-intercept
the x-intercept is when the value of y is equal to zero
For \(y=0\)
find the value of x
\(0=3x-2\)
\(x=(2/3)\)
therefore
the answer is the option B ( see the attached figure)
