If a line is parallel to another line, the slope stays the same but the y intercept changes. For that line, 5 is the slope and 3 is the y intercept. So, 5 would be the slope for a line that is parallel to y=5x+3.
If a line is parallel to the line [tex]y = 5x + 3[/tex] the slope is equal to the slope of the line above. The slope of the line above is 5 (the number in front of the x represents the slope). Therefore the slope of a line that is parallel to the line above is 5.
