Slope-intercept form of a line is y=mx+b where m= slope and b=y-intercept.
First step is to compare this line with the given line y=5x+2 to get the value of m.
After comparing we will get m=5.
Now slope of all parallel lines are equal which means if slope of this line is 5 then slope of the line which is parallel to this line will also be 5.
Point- slope form of a line is:
Given the line passes through (-6,-1). So, plug in x1=-6, y1=-1 and m=5 in the above equation. So,
y-(-1)=5(x-(-6))
y+1=5(x+6)
y+1=5x+30
y=5x+30-1
y=5x+29.