Question

What is the equation of the line passing through (–3, –9) and parallel to the line y = x + 6 in standard form?

Answer 1

we know parrallel lines have the same slope, right?

Answer 2

the slopes are equal
the slope of y=x+6 is m=1. therefore the slope of parallel line is also 1

Answer 3

The equation of requested line is:
y + 9 = 1*(x+3)
y + 9 = x + 3
y = x - 6

Answer 4

x-y-6=0