Answer:
Yes
Step-by-step explanation:
As long as the slopes of these two lines are not the same, they will intersect.
Given two points on a line, we can find the slope by taking the difference in the y coordinates and dividing it by the difference in the x coordinates.
Slope of 1st line: [tex]\frac{-5-1}{-1-2} =\frac{-6}{-3} =\frac{1}{2}[/tex]
Slope of 2nd line: [tex]\frac{-6-2}{-1-1} =\frac{-8}{-2}=4[/tex]
The slopes are not equal, therefore the lines intersect.