Answer
$y=2x+2$
Work Step by Step
$y=3x^2-4x+2$
$x=0$
$y=3x^2-4x+2$
$y=3*0^2-4*0+2$
$y=3*-0-0+2$
$y=0+2=2$
$(0,2)$
$x=2$
$y=3x^2-4x+2$
$y=3*2^2-4*2+2$
$y=3*4-8+2$
$y=12-8+2$
$y=6$
$(2,6)$
$m=(6-2)/(2-0)$
$m=4/2 = 2$
$y=mx+b$
$6=2*2+b$
$6=4+b$
$6-4=4+b-4$
$2=b$
$y=2x+2$