Ok, so a line with a perpendicular slope will have the opposite reciprocal slope, meaning that if the slope on y=-4x-7 is -4, the opposite reciprocal slope would be 1/4. so, if you plug the given point into your new line,
y=1/4x+b
1=1/4(4)+b
1=1+b
b=0
so, the final equation would be y=1/4x
(i think?)
