# Line slope calculator 3x+4y=24

**Straight line given by points A[0; 6] and B[4; 3]**

## Calculation:

**Slope-intercept form of line:**y = -0.75x+6

**Canonical form of the line equation:**3x+4y-24 = 0

**Parametric form of the line equation:**

x = 4t

y = -3t+6 ; t ∈ R

**Slope:**m = -0.75

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

**X intercept:**x

_{0}= 8

**Y intercept:**y

_{0}= q = 6

**Distance line from the origin:**d

_{0}= 4.8

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

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

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

**Midpoint of the segment AB: M =**[2; 4.5]

**Perpendicular Bisector equation:**4x-3y+5.5 = 0

**Vector OA = (0; 6) ; |OA| = 6**

**Vector OB = (4; 3) ; |OB| = 5**

**Scalar product OA .OB = 18**

**Angle ∠ AOB = 53°7'48″ = 0.9273 rad**