What are the intercepts of #-y=6(x+8)#?

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Answer 1 · 2015-11-06T00:34:31

x-intercept =#color(green)( -8#
y-intercept = #color(green)(-48#

graph{y = -6(x+8) [-65.9, 65.73, -52.5, 16.1]}

An intercept is where a line crosses an axis.

First you multiply both sides by #-1# so #y = -6(x+8)#.

Next set #y = 0# to find the x-intercept .
#0 = -6(x+8) #

distribute #-6#
0 = -6x-48

and solve for x
#48 = -6x#
#color(green)(x = -8#

To find the y-intercept , set #x = 0# and solve.

#y = 6(0)-48#
#color(green)(y = -48#