# The line with equation #y=mx+6# has a slope, m, such that #m ∈ [-2,12]#. Use an interval to describe the possible x-intercepts of the line? Please explain in detail how to get the answer.

##### 1 Answer

#### Answer:

#### Explanation:

Consider the high and low values of the slope to determine the high and low value of the x-int. Then we can phrase the answer as an interval.

High:

Let

We want

Low:

Let

Likewise:

Therefore the range of x-ints is

This is formalized in interval notation as:

PS:

Interval notation:

...

"[" means inclusive, "(" means exclusive.

Note: