Question

Column A

The slope of the line through the points (12,-4) and (2,-10)
ColumnB
the slope of the line through the points (-4,6)and (10,18)

Compare the quantity in column A with the quantity in column B.
A.
The quantity in column A is greater.
B.
The quantity in column B is greater.
C.
The quantities in the two columns are equal.
D.
The quantities in the two columns cannot be compared.

Answer 1

Answer a

Explanation:

Answer 2

The slope m of a line passing through points P(a, b) and Q(c, d) is found using the formula:


`m= (b-d)/(a-c)`.

Thus, the slope in A is
`m= (12-2)/(-4-(-10))=(10)/(6)=(5)/(3)`.

The slope in B is
`m= (-4-10)/(6-18)=(-14)/(-12)=(7)/(6)`.

Now, to compare 7/6 to 5/3, we can write the second fraction as 10/6.


So, the slope in A is larger than the slope in B.


Answer: A