# Line slope calculator 7x-y=20

**Straight line given by points A[3; 1] and B[4; 8]**

## Calculation:

**Slope-intercept form of line:**y = 7x-20

**Canonical form of the line equation:**7x-y-20 = 0

**Parametric form of the line equation:**

x = t+3

y = 7t+1 ; t ∈ R

**Slope:**m = 7

**Slope angle of line: φ =**81°52'12″ = 1.4289 rad

**X intercept:**x

_{0}= 2.8571

**Y intercept:**y

_{0}= q = -20

**Distance line from the origin:**d

_{0}= 2.8284

**The length of the segment AB: |AB| =**7.0711

**Vector: AB =**(1; 7)

**Normal vector: n =**(7; -1)

**Midpoint of the segment AB: M =**[3.5; 4.5]

**Perpendicular Bisector equation:**x+7y-35 = 0

**Vector OA = (3; 1) ; |OA| = 3.1623**

**Vector OB = (4; 8) ; |OB| = 8.9443**

**Scalar product OA .OB = 20**

**Angle ∠ AOB = 45° = 0.7854 rad**