Question 355149
We need to write the answer in the form Ax + By = C.


We are given the slope and one point.  We can plug this data into the point-slope formula.


The point-slope formula: y - y1 + m(x - x1).


y - 1 = -3(x -(-4))


y - 1 = -3(x + 4)


y - 1 = -3x - 12


y = -3x -12 + 1


y = -3x - 11


The equation is now in the y-intercept form.  


We need to change it to the form Ax + By = C.  This is called the standard form of the equation of the line.


Simply add 3x to both sides and we are done.


3x + y = -11


Did you follow?