Question

Examine these points on line u and line v.

Line u: (9, –8), (5, 4)

Line v: (4, 2), (7, –7)

How many points of intersection are there between line u and line v?

A- zero

B- one

C- two

D- infinitely many

Please answer SOOON. 12 pts.
** CORRECT Answer(letter) with small-and easy to understand explination **

Answer 1

A. Zero

Explanation:

I did this question and zero was the answer.

Answer 2

There is no points of intersection

Explanation:

∵ The slope of line u = 4 - (-8)/5 - 9 = 12/-4 = -3

∴ Its equation is ⇒ y = -3x + c ⇒ use point (5 , 4) to get c

4 = -3(5) + c ⇒ c = 4 + 15 = 19

∴ The equation of u is ⇒y = -3x + 19

∵ The slope of line v = -7 - 2/7 - 4 = -9/3 = -3

∴ Its equation is ⇒ y = -3x + c ⇒ use point (4 , 2) to get c

2 = -3(4) + c ⇒ c = 2 + 12 = 14

∴ The equation of v is ⇒y = -3x + 14

∵ The slopes of them are equal and their y-intercepted are not equal

∴ Line u is parallel to line v

∴ There is no point of intersection