Question 413045
An equation of a line through a point P(x1 , y1) with slope m is given by

{{{y - y1 = m(x - x1)}}} 


Substitute {{{y1}}} , {{{x1}}} (already given) and {{{m}}} in the point slope form of a line


{{{y - y1 = m(x -x1)}}}

{{{y - (-3) = 2/3(x -5)}}}


{{{y+3 = (2/3)x -5( 2/3)}}}


{{{y+3 = (2/3)x - 10/3}}}


{{{y = (2/3)x -  3(1/3)-3}}}

{{{y = (2/3)x -  6(1/3)}}}

{{{y = (2/3)x -  6.33}}}

{{{ graph( 500, 500, -10, 20, -20, 20, (2/3)x -  6.33) }}}




check:

graph