What is the equation of the line with slope # m= 6/25 # that passes through # (1/5 -3/10) #?

1 Answer
Tony B
Nov 24, 2015

#y=6/25 x-87/250#

#color(green)("Tip: The question is presented in fractional form. This means")#
#color(white)(.....)color(green)(" they expect the answer to also be in the same format.")#

Explanation:

Standard form equation#-> y=mx+c.,..........(1)#

You are given #(x,y)-> (1/5, -3/10)#

You are also given #m-> 6/25#

Substitute in and solve for c

So equation (1) becomes

#-3/10=(6/25)(1/5)+c#

To make things simpler multiply everything by 25 giving

#(-3)(2.5)=(6)(1/5)+25c#

#25c=-7.5 -1.2#

#c=(-7.5-1.2)/25#

#c=- 8.7/25#

To remove the decimal multiply by 1 but in the form of #10/10#

#c= -8.7/25 xx 10/10 = 87/250#

so equation (1) becomes

#y=6/25 x-87/250#

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