# Line slope calculator 3x-4y=9

**Straight line given by points A[3; 0] and B[7; 3]**

## 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+3

y = 3t ; 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 =**[5; 1.5]

**Perpendicular Bisector equation:**4x+3y-24.5 = 0

**Vector OA = (3; 0) ; |OA| = 3**

**Vector OB = (7; 3) ; |OB| = 7.6158**

**Scalar product OA .OB = 21**

**Angle ∠ AOB = 23°11'55″ = 0.4049 rad**