# Line slope calculator 6x-8y=-32

**Straight line given by points A[0; 4] and B[8; 10]**

## Calculation:

**Slope-intercept form of line:**y = 0.75x+4

**Canonical form of the line equation:**6x-8y+32 = 0

**Parametric form of the line equation:**

x = 8t

y = 6t+4 ; t ∈ R

**Slope:**m = 0.75

**Slope angle of line: φ =**36°52'12″ = 0.6435 rad

**X intercept:**x

_{0}= -5.3333

**Y intercept:**y

_{0}= q = 4

**Distance line from the origin:**d

_{0}= 3.2

**The length of the segment AB: |AB| =**10

**Vector: AB =**(8; 6)

**Normal vector: n =**(6; -8)

**Midpoint of the segment AB: M =**[4; 7]

**Perpendicular Bisector equation:**8x+6y-74 = 0

**Vector OA = (0; 4) ; |OA| = 4**

**Vector OB = (8; 10) ; |OB| = 12.8062**

**Scalar product OA .OB = 40**

**Angle ∠ AOB = 38°39'35″ = 0.6747 rad**