# Line slope calculator 3x+4y=47

**Straight line given by points A[5; 8] and B[9; 5]**

## Calculation:

**Slope-intercept form of line:**y = -0.75x+11.75

**Canonical form of the line equation:**3x+4y-47 = 0

**Parametric form of the line equation:**

x = 4t+5

y = -3t+8 ; t ∈ R

**Slope:**m = -0.75

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

**X intercept:**x

_{0}= 15.6667

**Y intercept:**y

_{0}= q = 11.75

**Distance line from the origin:**d

_{0}= 9.4

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

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

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

**Midpoint of the segment AB: M =**[7; 6.5]

**Perpendicular Bisector equation:**4x-3y-8.5 = 0

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

**Vector OB = (9; 5) ; |OB| = 10.2956**

**Scalar product OA .OB = 85**

**Angle ∠ AOB = 28°56'24″ = 0.5051 rad**