What are the x-intercept and the y-intercept of the graph of #y=-1/2x-5#?

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Answer 1 · 2016-12-15T15:49:24

The y-intercept is #-5# or #(0, -5)#

The x-intercept is #-10# or #(-10, 0)#

Because this equation is in slope-intercept form:

#y = mx + c# where #m# is the slope and #c# is the y-intercept of #(0, c)#.

So for this problem the y-intercept is #-5# or #(0, -5)#

To find the x-intercept we need to set #y# to #0# and solve for #x#:

#0 = -1/2x - 5#

#0 + 5 = -1/2x - 5 + 5#

#5 = -1/2x - 0#

#5 = -1/2x#

#5 xx -2 = -1/2x xx -2#

#-10 = (-2)/(-2)x#

#-10 = 1x#

#-10 = x#