Verified Answer :

slope intercept form is \(y = mx+b\)

where \(m\) is the slope
and \(b\) is the y-intercept

they give us that the slope is 2
so our \(m = 2\)

then to find \(b\) , we temporarily plug in the point they gave us for x and y

so  \(3 = 2(1) + b\)
and solve for \(b\)
3 = 2 + b
1 = b
so our \(b = 1\)

put this together and we get
\(y = 2x + 1\) as our answer