Question

2)

A line passes through the points (0.5) and (-6,3). A second line passes through
(-15, 0) and (-21, -2).
A) Do the lines intersect? Show work to prove it! Grcle YES or
NO

Answer 1

Explanation:

Find the slope of each line. If the slopes are the same, the lines are parallel. Otherwise, the lines intersect.

Slope of line passing through (x₁, y₁) and (x₂, y₂) = (y₂-y₁)/(x₂-x₁)

Slope of line passing through (0, 5) and (-6, 3) = (3-5)/(-6-0) = ⅓

Slope of line passing through (-15, 0) and (-21, -2) = (-2-9)/(-21-(-2)) = 11/19

The lines intersect.