Question 249800
The given point is (-5, 2). The given slope of the equation is -3.

The generic equation of a straight line formed out of a point and slope is

{{{y = m*x + c}}}, where m is the slope and c is the constant.
  
  {{{y = m*x + c}}}
=>{{{y = -3*x + c}}}

To calculate the value of c, let us substitute the value of x and y from the coordinates of the given point in the equation.

=>{{{y = -3*x + c}}}
=>{{{2 = (-3)*(-5) + c}}}
=>{{{2 = 15 + c}}}
=>{{{2 - 15 = c}}}
=> c = -13

Thus the equation of the line is y = -3x - 13