# Line slope calculator 3x-4y=-9

**Straight line given by points A[1; 3] and B[5; 6]**

## Calculation:

**Slope-intercept form of line:**y = 0.75x+2.25

**Canonical form of the line equation:**3x-4y+9 = 0

**Parametric form of the line equation:**

x = 4t+1

y = 3t+3 ; t ∈ R

**Slope:**m = 0.75

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

**X intercept:**x

_{0}= -3

**Y intercept:**y

_{0}= q = 2.25

**Distance line from the origin:**d

_{0}= 1.8

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

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

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

**Midpoint of the segment AB: M =**[3; 4.5]

**Perpendicular Bisector equation:**4x+3y-25.5 = 0

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

**Vector OB = (5; 6) ; |OB| = 7.8102**

**Scalar product OA .OB = 23**

**Angle ∠ AOB = 21°22'14″ = 0.373 rad**