[tex]y=mx+b[/tex]
The equation that we are going to solve for is going to take this form. The original line also takes this form.
This is the slope-intercept form of a line, where m is the slope and b is the y-intercept.
Since both of the lines are parallel, they must have the same slope. Thus, the value of m is 3 for the new line.
[tex]y=3x+b[/tex]
The line must also pass through the point (-1, 2). Plug in the values of x and y to solve for b.
[tex]2=3(-1)+b[/tex]
[tex]2=-3+b[/tex]
Add both sides by 3
[tex]b=5[/tex]
Now, we have the value for b.
The equation for the parallel line must be the following:
[tex]y=3x+5[/tex]
The first choice is your answer. Hope this helps! :)
