How do you find the slope and intercept for #2x-3y=-12#?

1 Answer
May 25, 2017

Answer:

Slope is #2/3# , y-intercept at #(0,4)# , x-intercept at #(-6,0) #

Explanation:

#2x -3y = -12 or 3y = 2x + 12 or y= 2/3 x +4 #

Comparing with standard equation # y = mx + c# we get

slope as # m=2/3 # , y-intercept as #c=4 # i.e at #(0,4)#

x-intercept can be found by putting #y=0# in the equation as

# 2x= -12 or x= -6# i.e at #(-6,0) #
Slope is #2/3# , y-intercept at #(0,4)# , x-intercept at #(-6,0) #
graph{2x-3y = -12 [-10, 10, -5, 5]} [Ans]