How do you know if #3x + 8y = 16# is linear?

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Answer 1 · 2017-10-19T11:21:42

See below.

The equation of a straight line in slope #(m)# and #y-#intercept #(c)# form is: #y=mx+c#

In this example: #3x+8y=16#

Which can be written: #y = 1/8(-3x+16)#

#y= -3/8x+2#

Hence, #y# is a linear function with slope of #-3/8# and #y-#intercept of #2#

Depicted graphically below:

graph{3x+8y=16 [-10, 10, -5, 5]}