# Line slope calculator 2x-7y=-42

**Straight line given by points A[0; 6] and B[7; 8]**

## Calculation:

**Slope-intercept form of line:**y = 0.2857x+6

**Canonical form of the line equation:**2x-7y+42 = 0

**Parametric form of the line equation:**

x = 7t

y = 2t+6 ; t ∈ R

**Slope:**m = 0.2857

**Slope angle of line: φ =**15°56'43″ = 0.2783 rad

**X intercept:**x

_{0}= -21

**Y intercept:**y

_{0}= q = 6

**Distance line from the origin:**d

_{0}= 5.7691

**The length of the segment AB: |AB| =**7.2801

**Vector: AB =**(7; 2)

**Normal vector: n =**(2; -7)

**Midpoint of the segment AB: M =**[3.5; 7]

**Perpendicular Bisector equation:**7x+2y-38.5 = 0

**Vector OA = (0; 6) ; |OA| = 6**

**Vector OB = (7; 8) ; |OB| = 10.6301**

**Scalar product OA .OB = 48**

**Angle ∠ AOB = 41°11'9″ = 0.7188 rad**