What is the equation of the line with slope # m= -1/4 # that passes through # (7,3) #?

1 Answer
Nile River · Stefan V.
Feb 11, 2016

The equation of the line would be #y= -1/4x + 19/4#

Explanation:

The formula for the slope intercept form is

#y=mx +b#

where #m# is the slope and #b# is the #y#-intercept. In this problem, you are given the slope or #m#. To find the #y#-intercept, you plug in the point that is given, #(7,3)# into #x# and #y# respectively and solve for #b#.

#y= (-1/4) x + b#

#3= (-1/4)(7) +b#

#3= (-7/4) + b#

#12/4= (-7/4) + b#

Add #(7/4)# to both sides

#b = (19/4)#

Plug b into the slope intercept equation

#y= -1/4x + 19/4#

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