Question

Write an equation in standard form with integer coefficients for the line with slope 18/17 going through the point (-6,-3) The equation of the line is?

Answer 1

in point slope form, y + 3 = (18/17)(x + 6)
so, clearing the fraction, multiply both sides by 17: 17y + 17*3 = 18(x + 6)
17y + 51 = 18x + 18*6
17y + 51 = 18x + 108
0 = 18x -17y +108 -51
0 = 18x -17y + 57... general form
-57 = 18x -17y ... standard form