can you help me plz?

[ansarUSA]

1. Find the acute angle between y = 2x + 1 and y = -3x - 2 to the nearest degree.
2. Find the acute angle between 3x - 2y + 7 = 0 and 2y + 4x - 3 = 0 to the nearest degree.
3. Find the acute angle between y = x + 3 and y = -3x + 5 to the nearest degree.

THANK YOU IN ADVANCE

 

[pka]

If \(m_1~\&~m_2\) are the slopes of two lines which are not multiples of each other, then the lines do intersect thus having an angle between them.
The angle is \(\arctan\left(\dfrac{m_1-m_2}{1+m_1\cdot m_2}\right)\).

 

[Deleted member 4993]

1. Find the acute angle between y = 2x + 1 and y = -3x - 2 to the nearest degree.
2. Find the acute angle between 3x - 2y + 7 = 0 and 2y + 4x - 3 = 0 to the nearest degree.
3. Find the acute angle between y = x + 3 and y = -3x + 5 to the nearest degree.

THANK YOU IN ADVANCE

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