# Line slope calculator 9x+4y=76

**Straight line given by points A[4; 10] and B[8; 1]**

## Calculation:

**Slope-intercept form of line:**y = -2.25x+19

**Canonical form of the line equation:**9x+4y-76 = 0

**Parametric form of the line equation:**

x = 4t+4

y = -9t+10 ; t ∈ R

**Slope:**m = -2.25

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

**X intercept:**x

_{0}= 8.4444

**Y intercept:**y

_{0}= q = 19

**Distance line from the origin:**d

_{0}= 7.7166

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

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

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

**Midpoint of the segment AB: M =**[6; 5.5]

**Perpendicular Bisector equation:**4x-9y+25.5 = 0

**Vector OA = (4; 10) ; |OA| = 10.7703**

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

**Scalar product OA .OB = 42**

**Angle ∠ AOB = 61°4'25″ = 1.0659 rad**