Line slope calculator 4x-7y=8


Enter coordinates of two different points:

Straight line given by points A[2; 0] and B[9; 4]

Calculation:

Slope-intercept form of line: y = 0.5714x-1.1429

Canonical form of the line equation: 4x-7y-8 = 0

Parametric form of the line equation:
x = 7t+2
y = 4t      ; t ∈ R

Slope: m = 0.5714

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

X intercept: x0 = 2

Y intercept: y0 = q = -1.1429

Distance line from the origin: d0 = 0.9923

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

Vector: AB = (7; 4)

Normal vector: n = (4; -7)

Midpoint of the segment AB: M = [5.5; 2]

Perpendicular Bisector equation: 7x+4y-46.5 = 0


Vector OA = (2; 0) ;   |OA| = 2
Vector OB = (9; 4) ;   |OB| = 9.8489
Scalar product OA .OB = 18
Angle ∠ AOB = 23°57'45″ = 0.4182 rad