# Line slope calculator 8x-3y=56

**Straight line given by points A[7; 0] and B[10; 8]**

## Calculation:

**Slope-intercept form of line:**y = 2.6667x-18.6667

**Canonical form of the line equation:**8x-3y-56 = 0

**Parametric form of the line equation:**

x = 3t+7

y = 8t ; t ∈ R

**Slope:**m = 2.6667

**Slope angle of line: φ =**69°26'38″ = 1.212 rad

**X intercept:**x

_{0}= 7

**Y intercept:**y

_{0}= q = -18.6667

**Distance line from the origin:**d

_{0}= 6.5543

**The length of the segment AB: |AB| =**8.544

**Vector: AB =**(3; 8)

**Normal vector: n =**(8; -3)

**Midpoint of the segment AB: M =**[8.5; 4]

**Perpendicular Bisector equation:**3x+8y-57.5 = 0

**Vector OA = (7; 0) ; |OA| = 7**

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

**Scalar product OA .OB = 70**

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