Answer:
6x + y = - 67
Explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = - 6 and (a, b) = (- 12, 5), thus
y - 5 = - 6(x - (- 12)), that is
y - 5 = - 6(x + 12) ← in point- slope form
Distribute right side and rearrange equation
y - 5 = - 6x - 72 ( add 6x to both sides )
6x + y - 5 = - 72 ( add 5 to both sides )
6x + y = - 67 ← in standard form