Question

egment AB falls on line 2x − 4y = 8. Segment CD falls on line 4x + 2y = 8. What is true about segments AB and CD?

Answer 1

Answer:

The line segments AB and CD are perpendicular to each other.

Step-by-step explanation:

Segment AB falls on line 2x − 4y = 8.

Rearranging the equation into slope-intercept form we get,  ............. (1)

Therefore, slope of the line segment AB is

Now, the segment CD falls on line 4x + 2y = 8.

Rearranging the equation into slope-intercept form we get,  ............. (2)

Therefore, the slope of the line segment CD is, N = - 2

So, M × N =

Hence, we can conclude that the line segments AB and CD are perpendicular to each other