What is the slope intercept form of the line with a slope of #-7/2 # that passes through # (1,6) #?

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Answer 1 · 2016-06-09T14:41:38

The equation of the line in slope-intercept form is

#y = -7/2 x + 9 1/2#

The slope intercept form of a line is #y=mx+b#

For this problem we are given the slope as #-7/2# and a point on the line of #(1,6)#

#m=-7/2#
#x=1#
#y=6#

We plug in the values and then solve for the #b# term which is the
y-intercept.

#6 =-7/2(1) +b#

#6 =-3 1/2 +b#

Now isolate the #b# term.

#6 +3 1/2 =cancel(-3 1/2) cancel(+3 1/2)+b#

#b= 9 1/2#

The equation of the line in slope-intercept form becomes

#y = -7/2 x + 9 1/2#