# Line slope calculator 3x-4y=8

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

## Calculation:

**Slope-intercept form of line:**y = 0.75x-2

**Canonical form of the line equation:**3x-4y-8 = 0

**Parametric form of the line equation:**

x = 4t+4

y = 3t+1 ; t ∈ R

**Slope:**m = 0.75

**Slope angle of line: φ =**36°52'12″ = 0.6435 rad

**X intercept:**x

_{0}= 2.6667

**Y intercept:**y

_{0}= q = -2

**Distance line from the origin:**d

_{0}= 1.6

**The length of the segment AB: |AB| =**5

**Vector: AB =**(4; 3)

**Normal vector: n =**(3; -4)

**Midpoint of the segment AB: M =**[6; 2.5]

**Perpendicular Bisector equation:**4x+3y-31.5 = 0

**Vector OA = (4; 1) ; |OA| = 4.1231**

**Vector OB = (8; 4) ; |OB| = 8.9443**

**Scalar product OA .OB = 36**

**Angle ∠ AOB = 12°31'44″ = 0.2187 rad**