What is the equation of the line passing through #(18,2) # with slope #m= -4/7#?

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Answer 1 · 2018-04-21T00:20:09

#y=-4/7x+12 2/7#

Slope-intercept form of an equation: #y=mx+b# where #m# is the slope and #b# is the y-intercept

#y=-4/7x+b rarr# The slope is given to us, but we do not know the y-intercept

Let's plug in the point #(18, 2)# and solve:

#2=-4/7*18+b#

#2=-72/7+b#

#2=-10 2/7+b#

#b=12 2/7#

#y=-4/7x+12 2/7#