You will remember that the slope-intercept form for lines is in the form y = mx + b In this equation m represents the slope of the line which is the change in y/the change in x b represents the y-intercept or place where our line crosses/intersects the y-axis. If you have trouble remembering the last piece, just make x to be 0. Any/all number(s) muliplied by 0 produce 0 Add b to 0 and there is the y-intercept, since we have made x to be 0.
We want our new line to be parallel to the line with the equation y = 3x + 5, and with a y-intercept of -1. So our new equation will be y = 3x - 1 (you can also write it as y = 3x + -1). Both our original equation and our new equation is in slope-intercept form already (y = mx + b). This new line is parallel because it has the same slope of 3 (or 3/1).