Question

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

Answer 1

Line a goes right 2 and up 1
Line b goes right 1 and up 3

Which is steeper?

Answer 2

A steeper slope has a higher gradient value.

Answer 3

Okay so technically steep means like sorta increasing, correct?

Answer 4

no

Answer 5

Then what does it mean?

Answer 6

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

Answer 7

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

Answer 8

Ya you can see it visually that way

Answer 9

Okay give me a sec

Answer 10

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

Answer 11

@znimon ?

Answer 12

no it is line b because b is further from horizontal

Answer 13

What do you mean by further from horizontal?

Answer 14

Ya you can see it visually that way

Answer 15

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

Answer 16

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

Answer 17

Silly mistake excuse me. No wounder you were confused.

Answer 18

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

Answer 19

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.

Answer 20

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

Answer 21

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

Answer 22

It makes somewhat sence I guess

Answer 23

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

Answer 24

Thank you so much!!(: