Question

Line L in the figure below is parallel to the line y=5x+3. Find the coordinates of the point P.

Answer 1

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

`y=\stackrel{\stackrel{m}{\downarrow }}{5}x+3\qquad \impliedby \begin{array}ll \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}`

that means that the slope of line L is also 5, or 5/1 or
`slope=\cfrac{\stackrel{rise}{5}}{\underset{run}{1}}`

Check the picture below.