slope y=mx+b question?

-1 is steeper

Since you know the negative signs in front numbers mean they are going in the negative directions. So the sign will not affect the steepness.

First do the absolute value of each, so they become 1 and 1/2.

slope of -1 can be interpreted as rise 1, run 1

slope of -1/2 can be interpreted as rise 1, run 2.

Now imagine you are going over a ramp with height as 1 and the distance be 1 and another ramp with the same height but with running through a distance of twice as much as the first ramp.

Clearly you can see the first ramp running through less distance but with the same height would be steeper.

So the answer is -1 is steeper.

Hope this helps!

The sign of the slope represents only the direction of slant: + upwards from left to right and – downwards from left to right. The value itself represents the angle; the larger the value, the larger the angle and the greater the slope and verse visa.

|- 1| > |- 1/2|, so

- 1 is the steeper slope.
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-1 is steeper.

-1 is steeper,

The interpretation/calculation of a slope is how much a function changes in the vertical direction (e.g. y) for each step in the horizontal direction (e.g. x). A function with a slope of -1 steps down by one for every step in x. A function with a slope of -1/2 steps down half a unit in y for each step in x (i.e. the function goes down a full value of one for every *two* steps of x, that is what -1/2 means).

The slope is steeper when it is -1. The higher the absolute value of the slope is, the steeper it is.