Answer:
[tex]y=2x+1[/tex]
Step-by-step explanation:
Let the linear equation be [tex]y=mx +b[/tex].
The slope of a linear equation is the same as the rate of change of that linear linear equation.
The rate of change of y with respect to x is given in the question as 2.
[tex]\implies m=2[/tex]
We substitute this slope to obtain the partial equation;
[tex]y=2x+b[/tex]
If the coordinate (0,1) is a solution, then it must satisfy this equation.
[tex]\implies 1=2(0)+b[/tex]
[tex]\implies 1=b[/tex]
The required equation is:
[tex]y=2x+1[/tex]
