How do you write the standard form of the equation given (3,5) and slope 5/3?

1 Answer
Alan P.
Mar 20, 2017

#5x-3y=0#

Explanation:

Start with the slope-point form: #(y-color(blue)(y_1))=color(green)m(x-color(red)(x_1))#
with the point #(color(red)3,color(blue)5)# and slope #color(green)(5/3)# to get:
#color(white)("XXX")y-color(blue)5=color(green)(5/3)(x-color(red)3)#

Our target form is the standard form: #Ax+By=C#

Multiplying both sides of our slope-point form by #3#
and expanding the left side:
#color(white)("XXX")3ycancel(-15)=5xcancel(-15)#

Re-arrange into standard form:
#color(white)("XXX")5x-3y=0#

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