Question

Line f has a slope of −6/3, and line g has a slope of −8/4.
What can be determined about distinct lines f and g?
A. The lines have proportional slopes.
B. The lines will intersect.
C. The lines are parallel.
D. Nothing can be determined about the lines from this information.

Answer 1

Answer:

The option A) is correct

"The lines have proportional slopes" is correct

Therefore the given slopes are proportional to each other

Step-by-step explanation:

Given that Line f has a slope of $\frac{-6}{3}$, and line g has a slope of $\frac{-8}{4}$

Also given that f and g are distinct lines

To check the proportionality of two slopes :

$\frac{-6}{3}=\frac{-8}{4}$

$-2=-2$

$2=2$

Therefore the given slopes are proportional to each other

Therefore option A) is correct

"The lines have proportional slopes" is correct

Answer 2

Heyo! ;D

So, based on the information we are given above:

"Line f has a slope of $-\frac{6}{3}$, and line g has a slope of $-\frac{8}{4}$."

...We can determine that the distinct lines f and g are parallel lines. Hence, 'Option C) The lines are parallel' is the correct choice.

Hope this helped you! If so, please lmk! Tysm and good luck!