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Explanation:
Parallel lines have equal slopes but different y intercepts.
The slope of y = 3x+2 is m = 3 (compare it to y = mx+b)
Any parallel line will also have slope m = 3
The parallel line goes through (x1,y1) = (-7, -6)
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Turn to point-slope form. Plug in the values mentioned and solve for y
y-y1 = m(x-x1)
y-(-6) = 3(x-(-7))
y+6 = 3(x+7)
y+6 = 3x+21
y = 3x+21-6
y = 3x+15
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Or you could use slope intercept form
y = mx+b
y = 3x+b
-6 = 3(-7)+b
-6 = -21+b
-6+21 = b
15 = b
b = 15
Since m = 3 and b = 15, we know the equation is y = 3x+15
