Remember the slope formula is

. So plugging in the coordinates we have
Answer:
B. The student incorrectly calculated the scale factor to be –2
Step-by-step explanation:
Given that :
After a dilation with a center of (0, 0), a point was mapped as (4, –6) → (12, y).
The student determined y to be -2
If a figure dilated with a center of (0, 0) and scale factor k, then
(x , y) → (kx , ky)
(4, -6) → (12, y)


k = 3
Thus; the scale factor is 3
Now; the y-coordinate can now be calculated as;
ky = (3 × -6)
ky = -18
Therefore; the value of y = -18 and the student incorrectly calculated the scale factor to be -2.
Answer:
-13 
Step-by-step explanation:
To multiply fractions with both the fraction and whole number you must convert it to an improper fraction by multiplying the whole numbers by the denominators, which you would get 35 for the first fraction and -10 for the second, then you must add the numerators to that number and put the number into the numerator spot. at this point you should have
and
.
Now, multiply the numerators by the numerators and the denominators by the denominator and keep it aligned so the products stay in fraction form. now you should have
.
Divide the numerator by the denominator to get the whole number, in this problem that comes out to 13. The remainder of this division becomes the new numerator which in this case would also be 13 and the denominator stays the same so now you have -13
which is the answer
Hope i helped!
Option C:
is the value of a and b
Explanation:
Given that the expression 
We need to determine the value of a and b
Let us consider the term
and take the prime factorization of the term 648
Thus, we have,
648 divides by 2,

324 divides by 2,

162 divides by 2,

81 divides by 3,

27 divides by 3,

9 divides by 3,

Thus, we have,

Therefore, equating the powers of 2 and 3, we get,

Hence, the value of a and b is 3 and 4
Thus, Option C is the correct answer.
8 calculate the problem and you get your answer :)