# Line slope calculator 4x-3y=17

**Straight line given by points A[5; 1] and B[8; 5]**

## Calculation:

**Slope-intercept form of line:**y = 1.3333x-5.6667

**Canonical form of the line equation:**4x-3y-17 = 0

**Parametric form of the line equation:**

x = 3t+5

y = 4t+1 ; t ∈ R

**Slope:**m = 1.3333

**Slope angle of line: φ =**53°7'48″ = 0.9273 rad

**X intercept:**x

_{0}= 4.25

**Y intercept:**y

_{0}= q = -5.6667

**Distance line from the origin:**d

_{0}= 3.4

**The length of the segment AB: |AB| =**5

**Vector: AB =**(3; 4)

**Normal vector: n =**(4; -3)

**Midpoint of the segment AB: M =**[6.5; 3]

**Perpendicular Bisector equation:**3x+4y-31.5 = 0

**Vector OA = (5; 1) ; |OA| = 5.099**

**Vector OB = (8; 5) ; |OB| = 9.434**

**Scalar product OA .OB = 45**

**Angle ∠ AOB = 20°41'44″ = 0.3612 rad**