Line slope calculator x+4y=6


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[2; 1] and B[6; 0]

Calculation:

Slope: m = -0.25

Slope-intercept form of line: y = -0.25x+1.5

Canonical form of the line equation: x+4y-6 = 0

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

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

X intercept: x0 = 6

Y intercept: y0 = q = 1.5

Distance line from the origin: d0 = 1.4552

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

Vector: AB = (4; -1)

Normal vector: n = (1; 4)

Midpoint of the segment AB: M = [4; 0.5]

Perpendicular Bisector equation: 4x-y-15.5 = 0

Vector OA = (2; 1) ;   |OA| = 2.2361
Vector OB = (6; 0) ;   |OB| = 6
Scalar product OA .OB = 12
Angle ∠ AOB = 26°33'54″ = 0.4636 rad