Write the equation of the line in fully simplified slope/intercept form

Answer:
y = m x + b standard form for straight line
m = (y2 - y1) / (x2 - x1)
When y2 = 12, x = -6
when y = 0, x = -2
m = (12 - 0) / (-6 - (-2)) = -3
so y = -3 x + b
Also, when x = 0, y = -6
Our equation is
y = -3 x - 6
As a check try x = -2
y = (-3 * -2) + (-6) = 0 as the graph shows