Answer:
[tex]y=2x+1[/tex]
Step-by-step explanation:
step 1
Write an equation in point-slope of the line passing through point A and parallel to line B
[tex]y-y1=m(x-x1)[/tex]
Remember that
If two lines are parallel, then their slopes are equal
In this problem the slope of the given line is m=2
That means
The slope of the parallel line is also m=2
we have
[tex]m=2\\point\ A(1,3)[/tex]
substitute
[tex]y-3=2(x-1)[/tex]
step 2
Convert to slope intercept form
[tex]y=mx+b[/tex]
we have
[tex]y-3=2(x-1)[/tex]
isolate the variable y
[tex]y=2x-2+3[/tex]
[tex]y=2x+1[/tex]
