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.

Respuesta :

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 [tex]\frac{-6}{3}[/tex], and line g has a slope of [tex]\frac{-8}{4}[/tex]

Also given that f and g are distinct lines

To check the proportionality of two slopes :

[tex]\frac{-6}{3}=\frac{-8}{4}[/tex]

[tex]-2=-2[/tex]

[tex]2=2[/tex]

Therefore the given slopes are proportional to each other

Therefore option A) is correct

"The lines have proportional slopes" is correct

Heyo! ;D

So, based on the information we are given above:

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

...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!

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