# Line slope calculator 4x-y=30

**Straight line given by points A[8; 2] and B[9; 6]**

## Calculation:

**Slope-intercept form of line:**y = 4x-30

**Canonical form of the line equation:**4x-y-30 = 0

**Parametric form of the line equation:**

x = t+8

y = 4t+2 ; t ∈ R

**Slope:**m = 4

**Slope angle of line: φ =**75°57'50″ = 1.3258 rad

**X intercept:**x

_{0}= 7.5

**Y intercept:**y

_{0}= q = -30

**Distance line from the origin:**d

_{0}= 7.2761

**The length of the segment AB: |AB| =**4.1231

**Vector: AB =**(1; 4)

**Normal vector: n =**(4; -1)

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

**Perpendicular Bisector equation:**x+4y-24.5 = 0

**Vector OA = (8; 2) ; |OA| = 8.2462**

**Vector OB = (9; 6) ; |OB| = 10.8167**

**Scalar product OA .OB = 84**

**Angle ∠ AOB = 19°39'14″ = 0.343 rad**