How do you find the slope and intercept of #4x-7y=21#?

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Answer 1 · 2017-09-06T20:58:45

see below.

When a linear equation is arranged in the form:

#y = color(blue)(m)x + color(blue)(c)#

#color(blue)(m)# is the gradient(slope) and #color(blue)(c)# is the #y# axis intercept.

#4x - 7y = 21 #

Subtract #4x# from both sides: # - 7y = -4x +21#

Divide by #-7#

#y = 4/7x - 3#

#color(blue)(m) = 4/7#

#color(blue)(c) = -3#