# Line slope calculator 4x-3y=25

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

## Calculation:

**Slope-intercept form of line:**y = 1.3333x-8.3333

**Canonical form of the line equation:**4x-3y-25 = 0

**Parametric form of the line equation:**

x = 3t+7

y = 4t+1 ; t ∈ R

**Slope:**m = 1.3333

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

**X intercept:**x

_{0}= 6.25

**Y intercept:**y

_{0}= q = -8.3333

**Distance line from the origin:**d

_{0}= 5

**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-37.5 = 0

**Vector OA = (7; 1) ; |OA| = 7.0711**

**Vector OB = (10; 5) ; |OB| = 11.1803**

**Scalar product OA .OB = 75**

**Angle ∠ AOB = 18°26'6″ = 0.3218 rad**