How could you write the equation of a line that would be parallel to y= -3x - 2 but not share any points!

1 answer

To find a line that is parallel to y = -3x - 2 but does not share any points, we need to write the equation in the form y = mx + b, where m represents the slope of the line.

In the given equation, we can observe that the slope is -3. Since parallel lines have the same slope, the slope of the parallel line will also be -3.

To ensure that the line does not share any points with y = -3x - 2, we can choose any different y-intercept, which is represented by b in the equation.

Therefore, the equation of a line that is parallel to y = -3x - 2 but does not share any points is y = -3x + c, where c is any constant that is not equal to -2.