Answer:
[tex]\large\boxed{y=5x-9}[/tex]
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
Parallel lines have the same slope. Therefore if given line is
[tex]y=5x+2[/tex]
then the slope of our line is [tex]m=5[/tex].
We have the equation:
[tex]y=5x+b[/tex]
The line passes through (2, 1). Put the coordinsted pf the point to the equation:
[tex]1=5(2)+b[/tex]
[tex]1=10+b[/tex] subtract 10 from both sides
[tex]-9=b\to b=-9[/tex]
Finally:
[tex]y=5x-9[/tex]
