The slope-intercept form:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
We have the slope [tex]m=2\to y=2x+b[/tex].
Put the coordinates of the point (-1, 5) to the equation of the line:
[tex]5=2(-1)+b[/tex]
[tex]5=-2+b[/tex] add 2 to both sides
[tex]7=b\to b=7[/tex]
Answer: [tex]y=2x+7[/tex]
