# Line slope calculator 8x+3y=80

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

## Calculation:

**Slope-intercept form of line:**y = -2.6667x+26.6667

**Canonical form of the line equation:**8x+3y-80 = 0

**Parametric form of the line equation:**

x = 3t+7

y = -8t+8 ; t ∈ R

**Slope:**m = -2.6667

**Slope angle of line: φ =**-69°26'38″ = -1.212 rad

**X intercept:**x

_{0}= 10

**Y intercept:**y

_{0}= q = 26.6667

**Distance line from the origin:**d

_{0}= 9.3633

**The length of the segment AB: |AB| =**8.544

**Vector: AB =**(3; -8)

**Normal vector: n =**(8; 3)

**Midpoint of the segment AB: M =**[8.5; 4]

**Perpendicular Bisector equation:**3x-8y+6.5 = 0

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

**Vector OB = (10; 0) ; |OB| = 10**

**Scalar product OA .OB = 70**

**Angle ∠ AOB = 48°48'51″ = 0.852 rad**