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 · 2015-12-16T03:42:40

#y=-14/25x+69/250#

A general equation to model a linear function is:

#y=mx+b#

where:
#y=#y-coordinate
#m=#slope
#x=#x-coordinate
#b=#y-intercept

Assuming that your point is #(23/5,-23/10)#, substitute your known values into the equation and solve for #b#, the y-intercept:

#y=mx+b#

#-23/10=-14/25(23/5)+b#

#-23/10=-322/125+b#

#-23/10+322/125=b#

#(-23(25)+322(2))/250=b#

#(-575+644)/250=b#

#b=69/250#

#:.#, the equation is #y=-14/25x+69/250#.