Question

Which of the following is the slope of a line perpendicular to the line y=3/5x+1​

Answer 1

`\large\boxed{slope=-(5)/(3)}`

Explanation:

`\text{Let}\ k:y=m_1x+b_1,\ l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-(1)/(m_1)\\\\l\ \parallel\ k\iff m_1=m_2\\\\==========================\\\\\text{We have}\ k:y=(3)/(5)x+1\to m_1=(3)/(5).\\\\\text{Therefore}\ m_2=-(1)/((3)/(5))=-(5)/(3)`