Line slope calculator x+2y=8


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[0; 4] and B[2; 3]

Calculation:

Slope: m = -0.5

Slope-intercept form of line: y = -0.5x+4

Canonical form of the line equation: x+2y-8 = 0

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

Slope angle of line: φ = -26°33'54″ = -0.4636 rad

X intercept: x0 = 8

Y intercept: y0 = q = 4

Distance line from the origin: d0 = 3.5777

The length of the segment AB: |AB| = 2.2361

Vector: AB = (2; -1)

Normal vector: n = (1; 2)

Midpoint of the segment AB: M = [1; 3.5]

Perpendicular Bisector equation: 2x-y+1.5 = 0

Vector OA = (0; 4) ;   |OA| = 4
Vector OB = (2; 3) ;   |OB| = 3.6056
Scalar product OA .OB = 12
Angle ∠ AOB = 33°41'24″ = 0.588 rad