# Line slope calculator 9x+4y=85

**Straight line given by points A[5; 10] and B[9; 1]**

## Calculation:

**Slope-intercept form of line:**y = -2.25x+21.25

**Canonical form of the line equation:**9x+4y-85 = 0

**Parametric form of the line equation:**

x = 4t+5

y = -9t+10 ; t ∈ R

**Slope:**m = -2.25

**Slope angle of line: φ =**-66°2'15″ = -1.1526 rad

**X intercept:**x

_{0}= 9.4444

**Y intercept:**y

_{0}= q = 21.25

**Distance line from the origin:**d

_{0}= 8.6304

**The length of the segment AB: |AB| =**9.8489

**Vector: AB =**(4; -9)

**Normal vector: n =**(9; 4)

**Midpoint of the segment AB: M =**[7; 5.5]

**Perpendicular Bisector equation:**4x-9y+21.5 = 0

**Vector OA = (5; 10) ; |OA| = 11.1803**

**Vector OB = (9; 1) ; |OB| = 9.0554**

**Scalar product OA .OB = 55**

**Angle ∠ AOB = 57°5'41″ = 0.9965 rad**