# Line slope calculator 9x+7y=97

**Straight line given by points A[3; 10] and B[10; 1]**

## Calculation:

**Slope-intercept form of line:**y = -1.2857x+13.8571

**Canonical form of the line equation:**9x+7y-97 = 0

**Parametric form of the line equation:**

x = 7t+3

y = -9t+10 ; t ∈ R

**Slope:**m = -1.2857

**Slope angle of line: φ =**-52°7'30″ = -0.9098 rad

**X intercept:**x

_{0}= 10.7778

**Y intercept:**y

_{0}= q = 13.8571

**Distance line from the origin:**d

_{0}= 8.5075

**The length of the segment AB: |AB| =**11.4018

**Vector: AB =**(7; -9)

**Normal vector: n =**(9; 7)

**Midpoint of the segment AB: M =**[6.5; 5.5]

**Perpendicular Bisector equation:**7x-9y+4 = 0

**Vector OA = (3; 10) ; |OA| = 10.4403**

**Vector OB = (10; 1) ; |OB| = 10.0499**

**Scalar product OA .OB = 40**

**Angle ∠ AOB = 67°35'25″ = 1.1797 rad**