What are the intercepts of #3y-2x=5#?

1 Answer
Dec 20, 2015

Answer:

y-intercept: #5/3#
x-intercept: #(-5/2)#

Explanation:

The y-intercept is the value on the Y-axis where the equation crosses the Y-axis. Since for all point on the Y-axis, #x=0#, another way to say this is that the y-intercept is the value of #y# when #x=0#

Given: #3y-2x=5#
when #x=0#
#color(white)("XXX")3y-2xx0=5 rArr y=5/3#
So the y-intercept is #5/3#

Similarly the x-intercept is the value of #x# when #y=0#
#color(white)("XXX")3xx0-2x=5 rArr x=-5/2#
So the x-intercept is #(-5/2)#