ericsmith1
ericsmith1 ericsmith1
  • 10-06-2016
  • Mathematics
contestada

What is the equation of a line passing through the point (a, b) and having a slope of b?

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caylus
caylus caylus
  • 12-06-2016
Hello,

y-b=b(x-a)
==>y=bx-ab+b

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JeanaShupp
JeanaShupp JeanaShupp
  • 24-06-2019

Answer: [tex]\ y=b(x-a+1)[/tex]

Step-by-step explanation:

The equation of a line passing from points (p,q) and has slope m is given by :-

[tex](y-q)=m(x-p)[/tex]

Given : Slope of line {m} = b

Point through which line is passing : (p,q) =(a,b)

The equation of a line passing from points (a,b) and has slope m is given by :-

[tex](y-b)=b(x-a)\\\\\Rightarrow\ y-b=bx-ba\\\\\Rightarrow\ y=bx-ba+b\\\\\Rightarrow\ y=b(x-a+1)[/tex]

Answer Link

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