# Line slope calculator 7x+y=57

**Straight line given by points A[7; 8] and B[8; 1]**

## Calculation:

**Slope-intercept form of line:**y = -7x+57

**Canonical form of the line equation:**7x+y-57 = 0

**Parametric form of the line equation:**

x = t+7

y = -7t+8 ; t ∈ R

**Slope:**m = -7

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

**X intercept:**x

_{0}= 8.1429

**Y intercept:**y

_{0}= q = 57

**Distance line from the origin:**d

_{0}= 8.061

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

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

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

**Midpoint of the segment AB: M =**[7.5; 4.5]

**Perpendicular Bisector equation:**x-7y+24 = 0

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

**Vector OB = (8; 1) ; |OB| = 8.0623**

**Scalar product OA .OB = 64**

**Angle ∠ AOB = 41°41'21″ = 0.7276 rad**