First, we know that this equation is of the form y = mx + b, which is a line.
Multiplying x by -5 will produce a line of -5x.
Multiplying -5x by 4 will increase the magnitude of the slope by a factor of 4, while keeping the sign of the slope the same.
Subtracting 3 from -5(4)x will shift the line 3 units down on the y-axis.
Adding 7 to -5(4)x-3 will shift the line 7 units up on the y -axis.