# Line slope calculator 6x+4y=64

**Straight line given by points A[4; 10] and B[8; 4]**

## Calculation:

**Slope-intercept form of line:**y = -1.5x+16

**Canonical form of the line equation:**6x+4y-64 = 0

**Parametric form of the line equation:**

x = 4t+4

y = -6t+10 ; t ∈ R

**Slope:**m = -1.5

**Slope angle of line: φ =**-56°18'36″ = -0.9828 rad

**X intercept:**x

_{0}= 10.6667

**Y intercept:**y

_{0}= q = 16

**Distance line from the origin:**d

_{0}= 8.8752

**The length of the segment AB: |AB| =**7.2111

**Vector: AB =**(4; -6)

**Normal vector: n =**(6; 4)

**Midpoint of the segment AB: M =**[6; 7]

**Perpendicular Bisector equation:**4x-6y+18 = 0

**Vector OA = (4; 10) ; |OA| = 10.7703**

**Vector OB = (8; 4) ; |OB| = 8.9443**

**Scalar product OA .OB = 72**

**Angle ∠ AOB = 41°38'1″ = 0.7266 rad**