# Line slope calculator 5x-8y=-35

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

## Calculation:

**Slope-intercept form of line:**y = 0.625x+4.375

**Canonical form of the line equation:**5x-8y+35 = 0

**Parametric form of the line equation:**

x = 8t+1

y = 5t+5 ; t ∈ R

**Slope:**m = 0.625

**Slope angle of line: φ =**32°19″ = 0.5586 rad

**X intercept:**x

_{0}= -7

**Y intercept:**y

_{0}= q = 4.375

**Distance line from the origin:**d

_{0}= 3.71

**The length of the segment AB: |AB| =**9.434

**Vector: AB =**(8; 5)

**Normal vector: n =**(5; -8)

**Midpoint of the segment AB: M =**[5; 7.5]

**Perpendicular Bisector equation:**8x+5y-77.5 = 0

**Vector OA = (1; 5) ; |OA| = 5.099**

**Vector OB = (9; 10) ; |OB| = 13.4536**

**Scalar product OA .OB = 59**

**Angle ∠ AOB = 30°40'38″ = 0.5354 rad**