consider the image of triangle ABC for the translation (x,y) to (x+4,y-2) what is the ordered pair of C?
1 answer:
The ordered pair for point C is option C. (3, 2).
Step-by-step explanation:
Step 1:
For this translation, (x, y) becomes (x + 4, y - 2).
This means the values of x are added with 4 and the y values are subtracted by 2.
The points of the triangle ABC are A (2, 4), B (2, 1), and C (3, -2).
Step 2:
Now we determine the ordered pairs after translation.
For A (2, 4). So A becomes (6, 2).
For B (2, 1). So B becomes (6, -1).
For C (-1, 0). So C becomes (3, -2).
So the ordered pair of C is (3, -2) which is option C.
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Answer:
B
Step-by-step explanation:
Let's create an equation in point-slope form, which is: , where
is the point and m is the slope.
Here, our point is (-2, 7) and our slope is m = -5 so plug these in:
Now, if (a, 2) lies on this line, then it should satisfy the equation. So plug in a for x and 2 for y:
2 - 7 = -5(a + 2)
-5 = -5(a + 2)
Divide by -5:
1 = a + 2
Subtract 2 from both sides:
a = -1
Thus, the answer is B.
Hope this helps!