Answer:
There is no points of intersection
Step-by-step 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
