# Line slope calculator 6x+4y=46

**Straight line given by points A[1; 10] and B[5; 4]**

## Calculation:

**Slope-intercept form of line:**y = -1.5x+11.5

**Canonical form of the line equation:**6x+4y-46 = 0

**Parametric form of the line equation:**

x = 4t+1

y = -6t+10 ; t ∈ R

**Slope:**m = -1.5

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

**X intercept:**x

_{0}= 7.6667

**Y intercept:**y

_{0}= q = 11.5

**Distance line from the origin:**d

_{0}= 6.3791

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

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

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

**Midpoint of the segment AB: M =**[3; 7]

**Perpendicular Bisector equation:**4x-6y+30 = 0

**Vector OA = (1; 10) ; |OA| = 10.0499**

**Vector OB = (5; 4) ; |OB| = 6.4031**

**Scalar product OA .OB = 45**

**Angle ∠ AOB = 45°37'47″ = 0.7964 rad**