Answer:
Step-by-step explanation:
We are given:
And we want to find:
This is equivalent to:
So, we will evaluate g(-5) first, which yields:
So:
Then:
Therefore:
Find if there was a mistake in the students work.
2 answers:
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When written in the form, the slope of a line is given by the coefficient
. Moreover, two lines are parallel if the have the same slope.
Now, the slope of the known line is 4, so our line's slope will be four as well.
In general, when you know the slope of a line and one of its points
, the equation of the line can be derived from the following formula:
Which in your case becomes
Expand the right hand side and solve for y:
The point (5, 3) is in first quadrant, then after the 90° clockwise the point will be in fourth quadrant and the coordinate will get swap. Then the coordinate will be (3, -5).
<h3>What is a transformation of a point?</h3>A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.
If the point A at (5, 3) is rotated clockwise about the origin through 90°.
Then the coordinates of the new point will be
The point (5, 3) is in first quadrant, then after the 90° clockwise the point will be in fourth quadrant and the coordinate will get swap.
Then the coordinate will be (3, -5).
More about the transformation of a point link is given below.
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