## ineedyouubiebs 2 years ago In 2 sentences, explain which line has the steepest slope by analyzing the equations of the lines below: line a- y=2x-4 Line b- y= 1/3x+2

1. znimon

Line a goes right 2 and up 1 Line b goes right 1 and up 3 Which is steeper?

2. AnImEfReaK

A steeper slope has a higher gradient value.

3. ineedyouubiebs

Okay so technically steep means like sorta increasing, correct?

4. znimon

no

5. ineedyouubiebs

Then what does it mean?

6. znimon

a slope is steeper the farther it is from horizontal aka closer to vertical

7. ineedyouubiebs

Ahh okay thank you( : so do I figure this out by drawing both equations on a graph?

8. znimon

Ya you can see it visually that way

9. ineedyouubiebs

Okay give me a sec

10. ineedyouubiebs

I think it's line a, is it correct?

11. ineedyouubiebs

@znimon ?

12. znimon

no it is line b because b is further from horizontal

13. ineedyouubiebs

What do you mean by further from horizontal?

14. znimon

Ya you can see it visually that way

15. znimon

a slope is steeper the farther it is from horizontal aka closer to vertical

16. znimon

Line a goes up 2 right 1 Line b goes up 1 right 3 Excuse me I am sorry somehow I wrote the slope down inverted you are correct line a has a steeper slope

17. znimon

Silly mistake excuse me. No wounder you were confused.

18. ineedyouubiebs

Omg yay yay!!! Do you have any ideas on how to explain everything we just did in 2 sentences?

19. znimon

Line "a"'s change in y is greater than change in x and y differs from x by 1. While line "b"'s change is y is less than the change in x and y differs from x by -2.

20. znimon

And I hope that makes sense because the less you go up and farther you go over the closer that line is to horizontal.

21. znimon

and therefor less steep. And the same kind of argument the more you go up and less you go over the closer you get to vertical which is as steep as is possible. I hope that makes sense

22. ineedyouubiebs

It makes somewhat sence I guess

23. znimon

Remember vertical is the most steep so the closer you get to that the more steep a line is. Horizontal is the least steep o the closer you get to that the less steep the line

24. ineedyouubiebs

Thank you so much!!(:

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