# Line slope calculator 3x-4y=1

**Straight line given by points A[3; 2] and B[7; 5]**

## Calculation:

**Slope-intercept form of line:**y = 0.75x-0.25

**Canonical form of the line equation:**3x-4y-1 = 0

**Parametric form of the line equation:**

x = 4t+3

y = 3t+2 ; t ∈ R

**Slope:**m = 0.75

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

**X intercept:**x

_{0}= 0.3333

**Y intercept:**y

_{0}= q = -0.25

**Distance line from the origin:**d

_{0}= 0.2

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

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

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

**Midpoint of the segment AB: M =**[5; 3.5]

**Perpendicular Bisector equation:**4x+3y-30.5 = 0

**Vector OA = (3; 2) ; |OA| = 3.6056**

**Vector OB = (7; 5) ; |OB| = 8.6023**

**Scalar product OA .OB = 31**

**Angle ∠ AOB = 1°50'51″ = 0.0322 rad**