Question

QUESTION 1) Line M passes through the points (-4, -11) and (3, 3). Line N passes through the points (5, -2) and (-6, 9). Which of the following explains whether lines M and N intersect? No, lines M and N never intersect because their slopes are the same. Yes, lines M and N intersect because their slopes are different. No, lines M and N never intersect because their slopes are different. Yes, lines M and N intersect because their slopes are the same. Some one please help me

Answer 1

Yes, lines M and N intersect because their slopes are different.

Explanation:

First, we can start out by finding the slope of Line M and Line N. The slope formula is (y_2 - y_1)/(x_ 2- x_1)

Slope of Line M:

(3--11) / (3--4)

(3+11) / (3+4)

14/7

2

Now we know that the slope of Line M is 2.

Slope of Line N:

(9--2) / (-6-5)

11/-11

The slope of Line N is -1!

Since the slopes of Line N and M are different, they intersect. The answer is Yes, lines M and N intersect because their slopes are different.

If the slopes were the same, Line N and M would NEVER intersect because they are parallel.

Hope this helps