# Line slope calculator 4x-3y=22

**Straight line given by points A[7; 2] and B[10; 6]**

## Calculation:

**Slope-intercept form of line:**y = 1.3333x-7.3333

**Canonical form of the line equation:**4x-3y-22 = 0

**Parametric form of the line equation:**

x = 3t+7

y = 4t+2 ; t ∈ R

**Slope:**m = 1.3333

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

**X intercept:**x

_{0}= 5.5

**Y intercept:**y

_{0}= q = -7.3333

**Distance line from the origin:**d

_{0}= 4.4

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

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

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

**Midpoint of the segment AB: M =**[8.5; 4]

**Perpendicular Bisector equation:**3x+4y-41.5 = 0

**Vector OA = (7; 2) ; |OA| = 7.2801**

**Vector OB = (10; 6) ; |OB| = 11.6619**

**Scalar product OA .OB = 82**

**Angle ∠ AOB = 15°1'6″ = 0.2621 rad**