# Line slope calculator 4x-5y=7

**Straight line given by points A[3; 1] and B[8; 5]**

## Calculation:

**Slope-intercept form of line:**y = 0.8x-1.4

**Canonical form of the line equation:**4x-5y-7 = 0

**Parametric form of the line equation:**

x = 5t+3

y = 4t+1 ; t ∈ R

**Slope:**m = 0.8

**Slope angle of line: φ =**38°39'35″ = 0.6747 rad

**X intercept:**x

_{0}= 1.75

**Y intercept:**y

_{0}= q = -1.4

**Distance line from the origin:**d

_{0}= 1.0932

**The length of the segment AB: |AB| =**6.4031

**Vector: AB =**(5; 4)

**Normal vector: n =**(4; -5)

**Midpoint of the segment AB: M =**[5.5; 3]

**Perpendicular Bisector equation:**5x+4y-39.5 = 0

**Vector OA = (3; 1) ; |OA| = 3.1623**

**Vector OB = (8; 5) ; |OB| = 9.434**

**Scalar product OA .OB = 29**

**Angle ∠ AOB = 13°34'14″ = 0.2368 rad**