# Line slope calculator 2x-7y=-56

**Straight line given by points A[0; 8] and B[7; 10]**

## Calculation:

**Slope-intercept form of line:**y = 0.2857x+8

**Canonical form of the line equation:**2x-7y+56 = 0

**Parametric form of the line equation:**

x = 7t

y = 2t+8 ; t ∈ R

**Slope:**m = 0.2857

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

**X intercept:**x

_{0}= -28

**Y intercept:**y

_{0}= q = 8

**Distance line from the origin:**d

_{0}= 7.6922

**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; 9]

**Perpendicular Bisector equation:**7x+2y-42.5 = 0

**Vector OA = (0; 8) ; |OA| = 8**

**Vector OB = (7; 10) ; |OB| = 12.2066**

**Scalar product OA .OB = 80**

**Angle ∠ AOB = 34°59'31″ = 0.6107 rad**