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 Answer: the value of B is: B = 1
