Answer:
y = -6x - 9
Explanation:
The slope-intercept form of an equation of a line:
y = mx + b
m - slope
b - y-intercept
Parallel lines have the same slope.
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We have y= -6x - 9 → m = -6
Put the value of a slope and the coordinates of the point (-2, 3) to the equation of a line:
3 = -6(-2) + b
3 = 12 + b subtract 12 from both sides
-9 = b → b = -9
Finally:
y = -6x - 9