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.
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.
Therefore the range of x-ints is
This is formalized in interval notation as:
"[" means inclusive, "(" means exclusive.