When we write a line equation in the form
[tex]y=mx+q[/tex]
m is the slope of the line, and q is the y-intercept.
Since we want the y-intercept to be -3, our line will look like
[tex]y=mx-3[/tex]
In order to fix the slope, remember that two parallel lines have the same slope. So, the slope of the given line y=2x-5 is 2, and since we want a line parallel to this line, our slope will be 2 as well.
Plugging the values, we can finish the equation:
[tex]y=2x-3[/tex]
