What are the intercepts of : #4y= - 5x + 2#?

1 Answer
Feb 4, 2016

y-intercept: #1/2color(white)("XXXXXX")#x-intercept: #2/5#

Explanation:

The y-intercept is the value of #y# where the equation crosses the Y-axis; that is it is the value of #y# when #x=0#
#color(white)("XXX")4y=-5x+2# with #x=0#
#color(white)("XXX")rarr 4y=+2#
#color(white)("XXX")rarr y=1/2#

Similarly the x-intercept is the value of #x# when #y=0#
#color(white)("XXX")4y=-5x+2# with #y=0#
#color(white)("XXX")rarr 0=-5x+2#
#color(white)("XXX")rarr 5x=2#
#color(white)("XXX")rarr x=2/5#