Please help its a test!
1 answer:
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Explanation:
When the points are plotted on a graph, it is easy to see that the slope of AC is -2 and the slope of BC is 1/2. These slope values have a product of -1, so the corresponding line segments are perpendicular to each other.
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If you have studied vectors, you can find the dot product of AC with BC:
AC = (-5, 3) -(-2, -3) = (-3, 6)
BC = (6, 1) -(-2, -3) = (8, 4)
The dot product is ...
(-3, 6)·(8, 4) = (-3)(8) + (6)(4) = -24+24 = 0
When the dot product of vectors is zero, they are perpendicular.
Answer: (14, 5)
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Explanation:
Translating 5 units to the right means x becomes x+5. Whatever the x coordinate is, we add on 5.
Translating 4 units down means we go from y to y-4.
Overall, the point (x,y) becomes (x+5, y-4).
We can write the compact notation
So for the specific point given, we can say:
The point (9,9) shifts to (14, 5)