Question

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

Answer 1

Hello,

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

Answer 2

Answer:
`\ y=b(x-a+1)`

Explanation:

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

`(y-q)=m(x-p)`

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 :-

`(y-b)=b(x-a)\\\\\Rightarrow\ y-b=bx-ba\\\\\Rightarrow\ y=bx-ba+b\\\\\Rightarrow\ y=b(x-a+1)`