# Line slope calculator x+4y=7

**Straight line given by points A[3; 1] and B[7; 0]**

## Calculation:

**Slope-intercept form of line:**y = -0.25x+1.75

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

**Parametric form of the line equation:**

x = 4t+3

y = -t+1 ; t ∈ R

**Slope:**m = -0.25

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

**X intercept:**x

_{0}= 7

**Y intercept:**y

_{0}= q = 1.75

**Distance line from the origin:**d

_{0}= 1.6977

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

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

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

**Midpoint of the segment AB: M =**[5; 0.5]

**Perpendicular Bisector equation:**4x-y-19.5 = 0

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

**Vector OB = (7; 0) ; |OB| = 7**

**Scalar product OA .OB = 21**

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