Use the slope-intercept form of the line:
y=mx+b

where m is the slope and b is the y-intercept.

Two lines are perpendicular if their slope are negative reciprocals. Given that the line must be perpendicular to x+5y=8 or \(\displaystyle{y}=-{\left(\frac{{1}}{{5}}\right)}{x}+\frac{{8}}{{5}}\), then the slope of the required is: m=5

We are also given that b=4 so the equation is: y=5x+4

where m is the slope and b is the y-intercept.

Two lines are perpendicular if their slope are negative reciprocals. Given that the line must be perpendicular to x+5y=8 or \(\displaystyle{y}=-{\left(\frac{{1}}{{5}}\right)}{x}+\frac{{8}}{{5}}\), then the slope of the required is: m=5

We are also given that b=4 so the equation is: y=5x+4