Answer: y=2x-1
Step-by-step explanation:
Equation of a line that passes through (a,b) and have slope m is given by :-
[tex](y-b)=m(x-a)[/tex] [point slope form]
Given, Point = (4,7) , m= 2
Equation in point slope form : [tex](y-7)=2(x-4)[/tex]
To write in slope intercept form (y=mx+c) , we need to simplify it
[tex]y-7= 2x-8\\\\\Rightarrow\ y-2x=-8+7\\\\\Rightarrow\ y-2x=-1\\\\\Rightarrow\ y=2x-1[/tex]
Hence, y=2x-1
