Answer: [tex]y=4x+2[/tex]
Step-by-step explanation:
The equation of a line passing through (a,b) and having slope m is given by :-
[tex](y-a)=m(x-b)[/tex]
Given : A line is passing through (1, 6) and has slope = 4
Then , the equation of a line passing through (1,6) and having slope 4 is given by :-
[tex](y-6)=4(x-1)\\\\\Rightarrow\ y-6=4x-4\\\\\Rightarrow\ y=4x-4+6\\\\\Rightarrow\ y=4x+2[/tex]
Hence, the equation of a line passing through (1,6) and having slope 4 is [tex]y=4x+2[/tex]
