Question

Does the line passing through the points (−1,−5) and (2,1) intersect the line passing through the points (−1,−6) and (1,2)?

Answer 1

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: $\frac{-5-1}{-1-2} =\frac{-6}{-3} =\frac{1}{2}$

Slope of 2nd line: $\frac{-6-2}{-1-1} =\frac{-8}{-2}=4$

The slopes are not equal, therefore the lines intersect.