What is the graph of the function rule?
y = 3x - 2
Choose from the pictures




we have
[tex] y=3x-2 [/tex]
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 [tex] x=0 [/tex]
find the value of y
[tex] y=3*0-2 [/tex]
[tex] y=-2 [/tex]
2) Find the x-intercept
the x-intercept is when the value of y is equal to zero
For [tex] y=0 [/tex]
find the value of x
[tex] 0=3x-2 [/tex]
[tex] x=(2/3) [/tex]
therefore
the answer is the option B ( see the attached figure)