The equation of a line parallel to the line y - 3 = 3(x + 1) and passing through the point (0, -2) has to be determined.
Two parallel lines have equal slope. The line y - 3 = 3(x +1) in slope intercept form is:
y - 3 = 3x + 3
=> y = 3x + 6
The equation of a parallel line passing through (0, -2) is `(y +2)/(x -0) = 3`
=> y + 2 = 3x
=> 3x - y - 2 = 0
At the point where x = -2, y = 3*(-2) - 2 = -8
The equation of the line parallel to y - 3 = 3(x+1) and passing through (0, -2) is 3x - y - 2 = 0. The ordered pair where x = -2 is (-2, -8)
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