A line represented by y
3 −
x
7 = 1 intersects the X − axis and the Y − axis at points A
and B respectively. The mirror image of this line (taken with X − axis as the mirror)
intersects the Y − axis at point C. The mirror image of the point A (with Y − axis as
the mirror) is denoted by D.
Answers
Answer:
equation of line segment cd will be x/7 - y/3 = 1
db is parallel to ac
the area of the total geometry will be 42
Step-by-step explanation:
Answer:
the point C is (-0,-3) and point D is (-7,0).
Step-by-step explanation:
The line y = 3 - x/7 intersects the X-axis at the point (7,0) and the Y-axis at the point (0,3).
The mirror image of the line with respect to the X-axis will be a line with the same slope but opposite y-intercept. The equation of this line will be y = -3 + x/7.
The mirror image of point A (7,0) with respect to the Y-axis will be the point D (-7,0).
And, the mirror image of the line with respect to the Y-axis will intersect the Y-axis at point (-0,-3).
So, the point C is (-0,-3) and point D is (-7,0).
A line and its mirror image with respect to an axis can be described as follows:
The line is reflected across the axis and the new line has the same slope but opposite y-intercept (if reflected across the X-axis) or opposite x-intercept (if reflected across the Y-axis).
A point and its mirror image with respect to an axis can be described as follows: the x or y coordinate of the point remains unchanged, but the sign of the other coordinate changes.
In this case, the line y = 3 - x/7 intersects the X-axis at (7,0) and the Y-axis at (0,3). Its mirror image with respect to the X-axis is y = -3 + x/7 and it intersects the Y-axis at (-0,-3). The mirror image of point A (7,0) with respect to the Y-axis is (-7,0).
To learn more about mirror image from the link below
https://brainly.in/question/51354979
To learn more about y-intercept from the link below
https://brainly.in/question/32816800
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