Whats the mean of 28 20 30 25
2 answers:
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The parallel line to y = x + 3 and passes through
the point (0 , 4) is y = x + 4
Step-by-step explanation:
Parallel lines have:
1. The same slopes
2. The different y-intercept
The slope-intercept form of the linear equation is y = m x + c, where
m is the slope of the line and c is the y-intercept
We need to find the equation of the line that is parallel to
y = x + 3 and passes through the point (0 , 4)
∵ The two lines are parallel
∴ Their slopes are equal
∵ The equation of the given line is y = x + 3
∵ The form of the equation is y = m x + c
∴ m =
∴ The slope of the line is
∵ The equation of the line is y = mx + c
∵ m =
∴ The equation of the line is y = x + c
- To find c substitute x and y in the equation by the coordinates of
a point lies on the line
∵ The line passes through the point (0 , 4)
∴ x = 0 , y = 4
∴ 4 = (0) + c
∴ c = 4
∴ The equation of the line is y = x + 4
The parallel line to y = x + 3 and passes through
the point (0 , 4) is y = x + 4
Learn more:
You can learn more about equations of parallel lines in brainly.com/question/8628615
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Answer:
Step-by-step explanation:
The <em>transpose of a matrix </em> is one where you swap the column and row index for every entry of some original matrix
. Let's go through our first matrix row by row and swap the indices to construct this new matrix. Note that entries with the same index for row and column will stay fixed. Here I'll use the notation
and
to refer to the entry in the i-th row and the j-th column of the matrices
and
respectively:
Constructing the matrix from those entries gives us
which is option a. from the list.
Another interesting quality of the transpose is that we can geometrically represent it as a reflection over the line traced out by all of the entries where the row and column index are equal. In this example, reflecting over the line traced from 2 to 1 gives us our transpose. For another example of this, see the attached image!
