Question

O Lines

Identifying parallel and perpendicular lines from coordinates
Suppose we are given the following.
Line 1 passes through (4, 2) and (0,7).
Line 2 passes through (-4, 7) and (4, -3).
Line 3 passes through (-8, 8) and (-4, 3).
(a) Find the slope of each line.

Answer 1

To find the slope of a line passing through two points, use the formula m = (y2 - y1) / (x2 - x1) and substitute the given coordinates.

Step-by-step explanation:

The formula to find the slope of a line passing through two points (x1, y1) and (x2, y2) is given by m = (y2 - y1) / (x2 - x1).

1. For Line 1 passing through (4, 2) and (0,7), the slope is calculated as m = (7 - 2) / (0 - 4) = -5/4.
2. For Line 2 passing through (-4, 7) and (4, -3), the slope is calculated as m = (-3 - 7) / (4 - (-4)) = -1.
3. For Line 3 passing through (-8, 8) and (-4, 3), the slope is calculated as m = (3 - 8) / (-4 - (-8)) = -5/4.

Learn more about Identifying parallel and perpendicular lines from coordinates