Line slope calculator 4x-7y=-38


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[1; 6] and B[8; 10]

Calculation:

Slope: m = 0.5714

Slope-intercept form of line: y = 0.5714x+5.4286

Canonical form of the line equation: 4x-7y+38 = 0

Parametric form of the line equation:
x = 7t+1
y = 4t+6      ; t ∈ R

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

X intercept: x0 = -9.5

Y intercept: y0 = q = 5.4286

Distance line from the origin: d0 = 4.7133

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; 8]

Perpendicular Bisector equation: 7x+4y-63.5 = 0

Vector OA = (1; 6) ;   |OA| = 6.0828
Vector OB = (8; 10) ;   |OB| = 12.8062
Scalar product OA .OB = 68
Angle ∠ AOB = 29°11'51″ = 0.5096 rad