# Line slope calculator 3x+8y=24

**Straight line given by points A[0; 3] and B[8; 0]**

## Calculation:

**Slope-intercept form of line:**y = -0.375x+3

**Canonical form of the line equation:**3x+8y-24 = 0

**Parametric form of the line equation:**

x = 8t

y = -3t+3 ; t ∈ R

**Slope:**m = -0.375

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

**X intercept:**x

_{0}= 8

**Y intercept:**y

_{0}= q = 3

**Distance line from the origin:**d

_{0}= 2.809

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

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

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

**Midpoint of the segment AB: M =**[4; 1.5]

**Perpendicular Bisector equation:**8x-3y-27.5 = 0

**Vector OA = (0; 3) ; |OA| = 3**

**Vector OB = (8; 0) ; |OB| = 8**

**Scalar product OA .OB = 0**

**Angle ∠ AOB = 90° = 1.5708 rad**