Question

tell whether the lines through the given points are parallel perpendicular or neither line 1 (4,2),(-6,7) line 2 (4,-4), (10,-7)

Answer 1

The lines through the given points are parallel to each other as they both have the same slope of -1/2.

Step-by-step explanation:

We need to determine whether the lines through the given points are parallel, perpendicular, or neither.

To find this out, we calculate the slopes of each line and compare them. Lines are parallel if they have the same slope and are perpendicular if the product of their slopes is -1.

For Line 1 passing through points (4,2) and (-6,7), we calculate the slope (m1) as follows:

• m1 = (7 - 2) / (-6 - 4) = 5 / (-10) = -1/2

For Line 2 passing through points (4,-4) and (10,-7), we calculate the slope (m2) as:

• m2 = (-7 + 4) / (10 - 4) = -3 / 6 = -1/2

Since both lines have the same slope of -1/2, Line 1 and Line 2 are parallel to each other.