Respuesta :
The new point after rotation of point (-7, -3) counterclockwise by 90 degrees will be ( 3, -7).
What are coordinates?
A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).
Coordinates are always written in the form of small brackets the first term will be x and the second term will be y.
For example (5,3) here 5 will be for the x and 3 will be for the y.
Another example is (9,0) here 9 is for x and 0 is for y.
Given,
Point A = (-7, -3)
Let's say after rotation this point moves to a new coordinate (x, y) which is point B
Let's say the origin is O
Slope of line segment AO = (-3-0)/(-7-0) = 3/7
Slope of line segment BO = (y - 0)/(x - 0) = y/x
Now,
Since both lines are perpendicular to each other so
Slope AO × Slope BO = -1
3/7 × y/x = -1 ⇒ 3y = -7x
Now if we observe the result then it will be clear that if we put x = 3 than y = -7 will be the new coordinate.
Hence, The new point after rotation of point (-7, -3) counterclockwise by 90 degrees will be ( 3, -7).
For more about coordinates
brainly.com/question/7869125
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