What are the intercepts of the line #y = 1/2x-3#?

2 Answers
Sep 28, 2015

Answer:

x-intercept #= 6#
y-intercept #=-3#

Explanation:

The x-intercept is the point where the graph crosses the X-axis; for all point on the X-axis, #y=0#
Substituting #0# for #y# in #y =1/2x-3#
we get
#color(white)("XXX")0=1/2x-3#

#rarrcolor(white)("XXX")1/2x = 3#

#rarrcolor(white)("XXX")x=6#

Similarly, the y-intercept is the point where the graph crosses the Y-axis; and for all point on the Y-axi, #x=0#
Substituting #0# for #x# in #y=1/2x-3#
we get
#color(white)("XXX")y =1/2*(0) -3#

#rarrcolor(white)("XXX")y=-3#

Sep 28, 2015

Answer:

You set #x# and #y# to #=0# in turn

Explanation:

#y#-intercept is when #x=0#
Then #y=-3->(0,-3)#

#x#-intercept is when #y=0#
#1/2 x-3=0->1/2 x=3->x=6->(6,0)#
graph{0.5x-3 [-6.92, 13.08, -5.76, 4.24]}