Avani wrote the linear equation y=5x+4. then, she wrote the equation of the line that is perpendicular to y=5x+4 and that passes through (15,–2). if her new equation is in the form y=-1/5x+b, what is the value of b?

The equation of the line perpendicular to Y = 5X + 4 is given by:
 Y = -1 / 5X + B.
 We observe that this line passes through the point (15, -2).
 We have then:
 -2 = -1 / 5 (15) + B.
 Clearing B we have:
 -2 = -3 + B.
 -2 + 3 = B
 B = 1
 
 the value of B is:
 B = 1