How do you find the x and y intercepts for #3x – 2y = 15#?

1 Answer
Mar 2, 2018

Answer:

The #y#-intercept is #(0,-15/2)# and the #x#-intercept is (5,0).

Explanation:

Set one variable to zero and solve for the other.

Setting #x=0# will give the #y#-intercept:
#3(0)-2y=15#
#-2y=15#
#y = -15/2#

Setting #y=0# will give the #x#-intercept:
#3x-2(0)=15#
#3x=15#
#x=5#

Hence, the #y#-intercept is #(0,-15/2)# and the #x#-intercept is (5,0).