How do you find the x and y intercept of #5y = x + 6#?

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Answer 1 · 2017-10-31T23:55:29

x-intercept: #(-6,0)#

y-intercept: #(0,6/5)#

Given:

#5y=x+6#

The x-intercept is the value for #x# when #y=0#.

#5(0)=x+6#

#0=x+6#

Subtract #6# from both sides.

#-6=x#

Switch sides.

#x=-6#

x-intercept: #(-6,0)#

The y-intercept is the value of #y# when #x=0#.

#5y=x+6#

#5y=0+6#

#5y=6#

Divide both sides by #5#.

#y=6/5#

y-intercept: #(0,6/5)#