First of all, let's find the slope of line L. To find the slope of a line, you write it in the explitic form , and consider the coefficient
. So, we have
So, the slope of line L is 2/3.
Two lines are parallel if they have the same slope. So, line M has slope 2/3 as well, and we know that it passes through the point (3, -10).
When you are given the slope and a point
of a line, its equation is given by
So, if you plug your values, you have
which you can simplify into
You can identify that "5 over 100" can be written as a fraction. 5 will be the numerator and 100 will be the denominator:
To reduce this fraction, you need to divide the numerator and the denominator by the Greatest Common Factor (GCF) between them.
In this case, to find the GCF, you need to:
- Decompose the number into their Prime Factors:
- Notice that 5 is a common factor. Then, you need to choose the one with the lowest exponent:
Therefore, by dividing the numerator and the denominator by 5, you get:
Hence, the answer is: