How do you find the slope and intercept of #3x+4y=7#?

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Answer 1 · 2015-12-30T11:29:57

slope = #-3/4#
y intercept = #7/4#

3x + 4y = 7
4y = -3x +7
y =#-3/4#x + #7/4#

comparing with y=mx+c
we get,
m= slope = #-3/4#

c = y intercept = #7/4#

3x +4y = 7

#3/7#x + #4/7#y = #7/7#

#3/7#x + #4/7#y = 1

#x/ (7/3)# + #y/ (7/4)# = 1

comparing with #x/a# + #y/b# = 1
we get,
x intercept = #7/3#
y intercept =#7/4#