How do you write an equation of the line in standard form that is Parallel to 5y-4x=15 and through (10,6)?

1 Answer
Alan P.
Oct 19, 2015

#4x-5y=10#

Explanation:

#5y-4x=15# has a slope of #4/5#

The slope-point form of a linear equation is
#color(white)("XXX")(y-haty) = m(x-hatx)#
#color(white)("XXXXXXX")#where #m# is the slope and #(hatx,haty)# is a point

For this example we have
#color(white)("XXX")(y-6) = 4/5(x-10)#

Simplifying:
#color(white)("XXX")y=4/5x-8+6#

#color(white)("XXX")5y=4x-10#

Standard form is
#color(white)("XXX")Ax+By=C# with #A, B, C in ZZ, A>=0#

Converting to standard form:
#color(white)("XXX")4x-5y=10#

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