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Answer:
The equation of line with given slope that include given points is 3 y + x - 20 = 0
Step-by-step explanation:
According to Cora , if we know the slope and points on a line then we can write the equation of a line .
Since , The equation of line in slope-intercept form is
y = m x + c
<u>Where m is the slope of line , and if we know the points ( x , y ) which satisfy the line then constant term c can be get and the equation of line can be formed .</u>
So , From the statement said above it is clear that she is correct .
Now , Again
Given as :
Slope of a line is m = -
That include points ( 2 , 6 )
Now from the equation of line as y = m x + c
∴ 6 = - ( 2 ) + c
Or, 6 = - + c
So , c = 6 +
or, c =
∴ c =
So, The equation of line can be written as
y = - x +
Or, 3 y = - x + 20
I.e 3 y + x - 20 = 0
Hence The equation of line with given slope that include given points is 3 y + x - 20 = 0 Answer
You can consider the triangle (as on in the picture) and apply to it composition of two transformations:
1. reflection about the line y=x to form ΔA'B'C' and translation 1 unit right and 5 units up to form ΔA''B''C'';
2. translation 1 unit right and 5 units up to form ΔA'B'C' and reflection about the line y=x to form ΔA''B''C''.
You can see that results are different.
On added picture blue colour responds to composition of transformations 1 and red colour to composition of transformations 2.
1. reflection about the line y=x to form ΔA'B'C' and translation 1 unit right and 5 units up to form ΔA''B''C'';
2. translation 1 unit right and 5 units up to form ΔA'B'C' and reflection about the line y=x to form ΔA''B''C''.
You can see that results are different.
On added picture blue colour responds to composition of transformations 1 and red colour to composition of transformations 2.