How do you write an equation in slope intercept form given (-2, 3) and is parallel to 3x + 2y = 10?

1 Answer
Alan P.
May 10, 2016

#y-3=-3/2(x+2)#

Explanation:

Things to Remember

  1. A line with the general form: #color(white)("XXX")Ax+By=C#
    has a slope of #color(white)("XXX")m=-A/B#

  2. All parallel lines have the same slope.

  3. The slope-point form for a line with slope #m# through a point #(a,b)# is
    #color(white)("XXX")y-b=m(x-a)#

Therefore for this example

a. #3x+2y=10# has a slope of #m=-3/2#

b. All lines parallel to #3x+2y=10# have a slope of #m=-3/2#

c. The slope point form for a line with slope #m=-3/2# through the point #(-2,3)# is
#color(white)("XXX")y-3=-3/2(x+2)#

enter image source here

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