# Line slope calculator 7x-4y=3

**Straight line given by points A[1; 1] and B[5; 8]**

## Calculation:

**Slope-intercept form of line:**y = 1.75x-0.75

**Canonical form of the line equation:**7x-4y-3 = 0

**Parametric form of the line equation:**

x = 4t+1

y = 7t+1 ; t ∈ R

**Slope:**m = 1.75

**Slope angle of line: φ =**60°15'18″ = 1.0517 rad

**X intercept:**x

_{0}= 0.4286

**Y intercept:**y

_{0}= q = -0.75

**Distance line from the origin:**d

_{0}= 0.3721

**The length of the segment AB: |AB| =**8.0623

**Vector: AB =**(4; 7)

**Normal vector: n =**(7; -4)

**Midpoint of the segment AB: M =**[3; 4.5]

**Perpendicular Bisector equation:**4x+7y-43.5 = 0

**Vector OA = (1; 1) ; |OA| = 1.4142**

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

**Scalar product OA .OB = 13**

**Angle ∠ AOB = 12°59'41″ = 0.2268 rad**