Question

The lines graphed below are parallel.the slope of the slope of red line is 2/5 .what is the slope of the green line

Answer 1

`\large\boxed{\text{the sloe}\ m=(2)/(3)}`

Explanation:

`\text{Let}\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \parallel\ k\iff m_1=m_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-(1)/(m_1)`

`\text{We have the slope}\ m_1=(2)/(5).\\\\\text{The slope of parallel line is the same:}\ m_2=(2)/(5)`