Step-by-step explanation: The commutative property of multiplication states that changing the order of the factors does not change the product.
Example:
4 × 10 ≈ 10 × 4
If we multiply both these numbers together, we will get the same answer which is 40. This means that 4 × 10 must be equal to 10 × 4.
Example:
3 × 2 ≈ 2 × 3
Both of the answers will equal 6 which means that they are equal to each other.
we know that
If line b is perpendicular to line a, and line c is perpendicular to line a,
then
line b and line c are parallel
and two lines parallel have the same slope
so
Find the slope of the line b
Let
The formula to calculate the slope between two points is equal to
substitute
therefore
the answer is
the slope of the line c is
If two lines are perpendicular, then the product of the slope is -1.
Thus, the slope of line c is m which is the same as line b.
It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Given
Line b is perpendicular to line a, and line c is perpendicular to line a.
To find
The slope of line c.
We know that the slope theorem
If two lines are perpendicular, then the product of the slope is -1.
Let the slope of line b be m, then the slope of line a will be .
Then
Then the slope of line c will be.
Then
Thus, the slope of line c is m which is the same as line b.
More about the linearsystem link is given below.