# Line slope calculator 3x+8y=35

**Straight line given by points A[1; 4] and B[9; 1]**

## Calculation:

**Slope-intercept form of line:**y = -0.375x+4.375

**Canonical form of the line equation:**3x+8y-35 = 0

**Parametric form of the line equation:**

x = 8t+1

y = -3t+4 ; t ∈ R

**Slope:**m = -0.375

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

**X intercept:**x

_{0}= 11.6667

**Y intercept:**y

_{0}= q = 4.375

**Distance line from the origin:**d

_{0}= 4.0964

**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; 2.5]

**Perpendicular Bisector equation:**8x-3y-32.5 = 0

**Vector OA = (1; 4) ; |OA| = 4.1231**

**Vector OB = (9; 1) ; |OB| = 9.0554**

**Scalar product OA .OB = 13**

**Angle ∠ AOB = 69°37'25″ = 1.2152 rad**