# Line slope calculator 4x+3y=43

**Straight line given by points A[7; 5] and B[10; 1]**

## Calculation:

**Slope-intercept form of line:**y = -1.3333x+14.3333

**Canonical form of the line equation:**4x+3y-43 = 0

**Parametric form of the line equation:**

x = 3t+7

y = -4t+5 ; t ∈ R

**Slope:**m = -1.3333

**Slope angle of line: φ =**-53°7'48″ = -0.9273 rad

**X intercept:**x

_{0}= 10.75

**Y intercept:**y

_{0}= q = 14.3333

**Distance line from the origin:**d

_{0}= 8.6

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

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

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

**Midpoint of the segment AB: M =**[8.5; 3]

**Perpendicular Bisector equation:**3x-4y-13.5 = 0

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

**Vector OB = (10; 1) ; |OB| = 10.0499**

**Scalar product OA .OB = 75**

**Angle ∠ AOB = 29°49'37″ = 0.5206 rad**