Question

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 m

Answer 1

The slope of the line that passes through the points (x1, y1) and (x2, y2) is computed as follows:

`m=(y_2-y_1)/(x_2-x_1)`

The slope of the line that passes through (-4, -11) and (3, 3) is:

`m_1=(3-(-11))/(3-(-4))=(14)/(7)=2`

The slope of the line that passes through (5, -2) and (6, -9) is

`m_2=(-9-(-2))/(6-5)=-7`

Yes, lines m and n intersect because their slopes are different