Question

Which line has a slope of 5/8 and goes through the point (8, 2)

Answer 1

The slope
`m` and a point
`(x_(0),\;y_(0))` that the line goes through, give us a equation for the line:


`y-y_(0)=m\cdot (x-x_(0))\\\\ y-2=(5)/(8)\cdot (x-8)\\\\\\ y-2=(5)/(8)\,x-(5)/(8)\cdot 8\\\\\\ y-2=(5)/(8)\,x-5\\\\\\ y=(5)/(8)\,x-5+2\\\\\\ \boxed{\begin{array}{c} y=(5)/(8)\,x-3 \end{array}}`