Find the image of (-1,3) obtained by translating 2 units down, followed by a rotation of 270 degrees counterclockwise about the
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Answer:
5/4
Step-by-step explanation:
To do this you must know that by definition secant is:
Furthermore:
Based on this information we know that 3 = opposite and 5 = hypotenuse. Assuming this is a right triangle we can determine the adjacent side by Pythagorean Theorem.
Where c is the hypotenuse, a is adjacent and b is opposite. Therefore,
And so the adjacent side of this triangle is 4. Going back to the definition of secant we can now know that:
For this case we have that by definition, the equation of the line of the slope-intersection form is given by:
Where:
m: It is the slope of the line
b: It is the cut point with the y axis
We have the following points:
We find the slope:
Thus, the equation is of the form:
We substitute a point and find b:
Finally, the equation is:
Answer: