Line k has a slope of 2/3. if line m is parallel to line k, then it has a slope of
-2/3, -3/2, 2/3, 3/2

Solution:

Given: Slope of line k = 2/3

Now the line m is parallel to line k.

We know that the slope of parallel lines is equal. m\(_1\) = m\(_2\)

The slope of line m will be equal to the slope of line k. i.e., 2/3

Therefore, the slope of line m will be 2/3.

We can also understand by an example below:

Example:

The slope of line p is 4, lines p and q are parallel. find the slope of line q.

We know that the slope of parallel lines are equal

The slope of line p will be equal to the slope of line q

The slope of line p is 4

Therefore, the slope of line q will be also 4

Line k has a slope of 2/3. if line m is parallel to line k, then it has a slope of

Summary:

If line k has a slope of 2/3 and line m is parallel to line k, then the slope of line m will be equal to line k i.e., 2/3.