Line slope calculator 2x+4y=42


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[1; 10] and B[5; 8]

Calculation:

Slope: m = -0.5

Slope-intercept form of line: y = -0.5x+10.5

Canonical form of the line equation: 2x+4y-42 = 0

Parametric form of the line equation:
x = 4t+1
y = -2t+10      ; t ∈ R

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

X intercept: x0 = 21

Y intercept: y0 = q = 10.5

Distance line from the origin: d0 = 9.3915

The length of the segment AB: |AB| = 4.4721

Vector: AB = (4; -2)

Normal vector: n = (2; 4)

Midpoint of the segment AB: M = [3; 9]

Perpendicular Bisector equation: 4x-2y+6 = 0

Vector OA = (1; 10) ;   |OA| = 10.0499
Vector OB = (5; 8) ;   |OB| = 9.434
Scalar product OA .OB = 85
Angle ∠ AOB = 26°17'41″ = 0.4589 rad