Line slope calculator 4x-7y=4


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[1; 0] and B[8; 4]

Calculation:

Slope: m = 0.5714

Slope-intercept form of line: y = 0.5714x-0.5714

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

Parametric form of the line equation:
x = 7t+1
y = 4t      ; t ∈ R

Slope angle of line: φ = 29°44'42″ = 0.5191 rad

X intercept: x0 = 1

Y intercept: y0 = q = -0.5714

Distance line from the origin: d0 = 0.4961

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

Vector: AB = (7; 4)

Normal vector: n = (4; -7)

Midpoint of the segment AB: M = [4.5; 2]

Perpendicular Bisector equation: 7x+4y-39.5 = 0

Vector OA = (1; 0) ;   |OA| = 1
Vector OB = (8; 4) ;   |OB| = 8.9443
Scalar product OA .OB = 8
Angle ∠ AOB = 26°33'54″ = 0.4636 rad