What is the equation of the line with slope # m= 14/25 # that passes through # (23/5 23/10) #?

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Answer 1 · 2018-06-25T12:49:09

Point-slope form: #y=14/25 x-69/250#
Standard form: #140x-250y=69#

Remember that #y=mx+b# is the formula for point-slope form. All we have to do is plug in values and solve for #b#:

#23/10=14/25(23/5)+b#
#23/10=322/125+b#
#-69/250=b#
#y=14/25 x-69/250#

If you need standard form, here it is:

#-14/25 x+y=-69/250#
#-250*(-14/25 x+y)=(-69/250)*-250#
#140x-250y=69#

Hope this helped! :)