Line slope calculator 4x-y=2


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[1; 2] and B[2; 6]

Calculation:

Slope: m = 4

Slope-intercept form of line: y = 4x-2

Canonical form of the line equation: 4x-y-2 = 0

Parametric form of the line equation:
x = t+1
y = 4t+2      ; t ∈ R

Slope angle of line: φ = 75°57'50″ = 1.3258 rad

X intercept: x0 = 0.5

Y intercept: y0 = q = -2

Distance line from the origin: d0 = 0.4851

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

Vector: AB = (1; 4)

Normal vector: n = (4; -1)

Midpoint of the segment AB: M = [1.5; 4]

Perpendicular Bisector equation: x+4y-17.5 = 0

Vector OA = (1; 2) ;   |OA| = 2.2361
Vector OB = (2; 6) ;   |OB| = 6.3246
Scalar product OA .OB = 14
Angle ∠ AOB = 8°7'48″ = 0.1419 rad