What is the slope and intercept of #3x + y = 5#?

1 Answer
georgef
Jun 24, 2016

The slope is given by the coefficient #a# in the explicit form:
#y = a x + b#

Explanation:

Thus, reorganising as #y = -3x + 5#, we get the slope as #-3#

Also, using the same explicit form we can calculate the #y# intercept (where #x = 0#), as #y = 5#, and the #x# intercept (where #y = 0#), by solving #0 = -3x + 5#, that is #3x = 5#, and then #x =5/3#

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