The parallelism of the linear equations of two lines is clearly shown by the fact that both have the same slope. Due to the fact that they both have a slope of -2, they are parallel.
An equation is said to be linear if the maximum power of the variable is consistently 1.
Another name for it is a one-degree equation.
A linear equation with one variable has the conventional form Ax + B = 0.
In this case, the variables x and A are variables, while B is a constant.
So, there is a degree of 1 in these equations.
Knowing the lines' equation:
ab: 6x + 3y = 9
cd: 4x + 2y = 8
Afterward, write in slope-intercept form as follows:
ab: y = -2x + 3
cd = y = -2x +8
It is evident that both lines have the same slope, demonstrating their parallelism.
Therefore, the parallelism of the linear equations of two lines is clearly shown by the fact that both have the same slope. Due to the fact that they both have a slope of -2, they are parallel.
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