#color(blue)("the slope is 3 (taken from "3x#)
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(brown)(x_("Intercept")" is at y=0")#
#" "0=3x+2#
#color(brown)("Subtract 2 from both sides")#
#" "0-2=3x+2-2#
#color(brown)("But "0-2=-2" and "+2-2=0)#
#" "-2=3x#
#color(brown)("Divide both sides by 3")#
#" "-2/3= 3/3xx x#
#color(brown)("But "3/3=1" and "1xx x = x)#
#" "-2/3=x#
Write as #color(blue)(x_("intercept")=-2/3)#
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(brown)(y_("intercept")" is at "x=0)#
#" "y=3(0)+2#
#color(brown)("but "3xx0 =0)#
#" "y=0+2#
#" "color(blue)(y_("intercept")=2)#