# Line slope calculator x+4y=17

**Straight line given by points A[1; 4] and B[5; 3]**

## Calculation:

**Slope-intercept form of line:**y = -0.25x+4.25

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

**Parametric form of the line equation:**

x = 4t+1

y = -t+4 ; t ∈ R

**Slope:**m = -0.25

**Slope angle of line: φ =**-14°2'10″ = -0.245 rad

**X intercept:**x

_{0}= 17

**Y intercept:**y

_{0}= q = 4.25

**Distance line from the origin:**d

_{0}= 4.1231

**The length of the segment AB: |AB| =**4.1231

**Vector: AB =**(4; -1)

**Normal vector: n =**(1; 4)

**Midpoint of the segment AB: M =**[3; 3.5]

**Perpendicular Bisector equation:**4x-y-8.5 = 0

**Vector OA = (1; 4) ; |OA| = 4.1231**

**Vector OB = (5; 3) ; |OB| = 5.831**

**Scalar product OA .OB = 17**

**Angle ∠ AOB = 45° = 0.7854 rad**