Answer:
D
Step-by-step explanation:
Slope = (y2 - y1) / (x2 - x1)
= (2 - 0) / (0 - (-3)
= 2/3
Y intercept 2
Answer:
The angle between them = 52.1°
Step-by-step explanation:
∵ The position vector of the first point is ![\left[\begin{array}{ccc}1\\5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%5C%5C5%5Cend%7Barray%7D%5Cright%5D)
∵ The position vector of the second point is ![\left[\begin{array}{ccc}6\\3\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D6%5C%5C3%5C%5C%5Cend%7Barray%7D%5Cright%5D)
∵ The magnitude of the first = √(1²+5²) = √26
∵ The magnitude of the second = √(6²+3²) = √45
∵ The scalar product of them = (1 × 6) + (5 × 3) = 6 + 15 = 21
∵ cosФ = scalar product/(magnitude 1st × magnitude 2nd)
∴ cosФ = 21/(√26 × √45) = 0.61394
∴ Ф = 52.1°