How do you find the x and y intercepts of #y-5.5x=6#?

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Answer 1 · 2018-05-08T06:00:53

The y-intercept is #(0,6)#.

The x-intercept is #(-6/5.5,0)# or #(-1.09,0)#.

Given:

#y-5.5x=6#

Y-intercept: value of #y# when #x=0#

Substitute #0# for #x# and solve for #y#.

#y-5.5(0)=6#

#y=6#

The y-intercept is #(0,6)#.

X-intercept: value of #x# when #y=0#.

Substitute #0# for #y# and solve for #x#.

#0-5.5x=6#

#-5.5x=6#

Divide both sides by #-5.5#.

#x=-6/5.5# or #1.09#

The x-intercept is #(-6/5.5,0)# or #(-1.09,0)#.

graph{y-5.5x=6 [-9.58, 10.42, -1.24, 8.76]}