To write the equation of a line that is parallel to y = -3x - 2 but does not share any points, we can use the same slope as the given line (-3), but select a different y-intercept.
Let's denote the y-intercept as b. Since y = -3x - 2 has a y-intercept of -2, we can choose any value for b that is not equal to -2.
For example, let's say we choose b = 4. The equation of the parallel line would be y = -3x + 4.
Another example could be b = 0, resulting in y = -3x.
By selecting a different y-intercept, we ensure that the parallel line does not intersect with y = -3x - 2.
How could you write the equation of a line that would be parallel to y = -3x - 2 but not share any points
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