# Line slope calculator 3x-4y=-17

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

## Calculation:

**Slope-intercept form of line:**y = 0.75x+4.25

**Canonical form of the line equation:**3x-4y+17 = 0

**Parametric form of the line equation:**

x = 4t+1

y = 3t+5 ; t ∈ R

**Slope:**m = 0.75

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

**X intercept:**x

_{0}= -5.6667

**Y intercept:**y

_{0}= q = 4.25

**Distance line from the origin:**d

_{0}= 3.4

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

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

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

**Midpoint of the segment AB: M =**[3; 6.5]

**Perpendicular Bisector equation:**4x+3y-31.5 = 0

**Vector OA = (1; 5) ; |OA| = 5.099**

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

**Scalar product OA .OB = 45**

**Angle ∠ AOB = 20°41'44″ = 0.3612 rad**