What is the equation of the line with slope # m= 7/25 # that passes through # (4/5 3/10) #?

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Answer 1 · 2016-01-18T21:42:26

#y=7/25x+19/250#

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Standard form: #y=mx+c# ....................(2)

Given: #m=color(green)(7/25) ; color(white)(....) "a given point on the line" P->(x,y)->(color(brown)(4/5),color(blue)(3/10))#

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Substituting the information we are given into equation (1)

#color(blue)(3/10)=(color(green)(7/25)xxcolor(brown)(4/5))+c#

#=> 3/10=28/125+c#

Subtract # 28/125 #from both sides

#3/10-28/125=c#

#c=19/250#
'~~~~~~~~~~~~~~~~~~~~~~~~~~
So the equation #y=mc+c# becomes

#y=7/25x+19/250#