# Line slope calculator 7x-4y=-5

**Straight line given by points A[1; 3] and B[5; 10]**

## Calculation:

**Slope-intercept form of line:**y = 1.75x+1.25

**Canonical form of the line equation:**7x-4y+5 = 0

**Parametric form of the line equation:**

x = 4t+1

y = 7t+3 ; t ∈ R

**Slope:**m = 1.75

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

**X intercept:**x

_{0}= -0.7143

**Y intercept:**y

_{0}= q = 1.25

**Distance line from the origin:**d

_{0}= 0.6202

**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; 6.5]

**Perpendicular Bisector equation:**4x+7y-57.5 = 0

**Vector OA = (1; 3) ; |OA| = 3.1623**

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

**Scalar product OA .OB = 35**

**Angle ∠ AOB = 8°7'48″ = 0.1419 rad**