Respuesta :

y - 6 = 4(x - 1)
y - 6 = 4x - 4
y = 4x + 2

answer
c.y = 4x + 2

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]