How do you find the slope and intercept of #y=3x+2#?

1 Answer
May 4, 2016

Answer:

#color(blue)("the slope is 3 (taken from "3x#)
#color(blue)(x_("intercept")=-2/3)#
#color(blue)(y_("intercept")=2)#

Explanation:

#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)#