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Segment AB falls on line 6x + 3y = 12. Segment CD falls on line 4x + 2y = 8. What is true about segments AB and CD?
They are parallel because they have the same slope of -2.
1
They are parallel because they have the same slope of
2
They are lines that lie exactly on top of one another because they have the same slope and the same y-intercept.
They are lines that lie exactly on top of one another because they have the same slope and a different y-intercept.

Respuesta :

Snor1ax

Answer: C

Step-by-step explanation:

The slope-intercept form of a line is given by

y = mx + b

m - slope

b - y-intercept

Segment AB lies on the line 6x + 3y = 12

6x + 3y = 12

3y = -6x + 12

​​y = -6/3​x +  12/3​  

y = -2x + 4

Comparing with the slope-intercept form,

Slope = - 2

y-intercept = 4

Segment CD lies on the line 4x + 2y = 8

4x + 2y = 8

2y = -4x + 8

y = -4/2​x +  8/2

y = - 2x + 4

Comparing with the slope-intercept form,

Slope = - 2

y-intercept = 4

Both the line segments have the same slope and the same y-intercept, so the two line segments will lie exactly on top of one another.

Therefore, the correct option is (c)