# Line slope calculator 4x-3y=21

**Straight line given by points A[6; 1] and B[9; 5]**

## Calculation:

**Slope-intercept form of line:**y = 1.3333x-7

**Canonical form of the line equation:**4x-3y-21 = 0

**Parametric form of the line equation:**

x = 3t+6

y = 4t+1 ; t ∈ R

**Slope:**m = 1.3333

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

**X intercept:**x

_{0}= 5.25

**Y intercept:**y

_{0}= q = -7

**Distance line from the origin:**d

_{0}= 4.2

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

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

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

**Midpoint of the segment AB: M =**[7.5; 3]

**Perpendicular Bisector equation:**3x+4y-34.5 = 0

**Vector OA = (6; 1) ; |OA| = 6.0828**

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

**Scalar product OA .OB = 59**

**Angle ∠ AOB = 19°35'32″ = 0.3419 rad**