# Line slope calculator 3x-8y=-13

**Straight line given by points A[1; 2] and B[9; 5]**

## Calculation:

**Slope-intercept form of line:**y = 0.375x+1.625

**Canonical form of the line equation:**3x-8y+13 = 0

**Parametric form of the line equation:**

x = 8t+1

y = 3t+2 ; t ∈ R

**Slope:**m = 0.375

**Slope angle of line: φ =**20°33'22″ = 0.3588 rad

**X intercept:**x

_{0}= -4.3333

**Y intercept:**y

_{0}= q = 1.625

**Distance line from the origin:**d

_{0}= 1.5215

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

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

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

**Midpoint of the segment AB: M =**[5; 3.5]

**Perpendicular Bisector equation:**8x+3y-50.5 = 0

**Vector OA = (1; 2) ; |OA| = 2.2361**

**Vector OB = (9; 5) ; |OB| = 10.2956**

**Scalar product OA .OB = 19**

**Angle ∠ AOB = 34°22'49″ = 0.6001 rad**