Line slope calculator 10x+3y=40


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[1; 10] and B[4; 0]

Calculation:

Slope: m = -3.3333

Slope-intercept form of line: y = -3.3333x+13.3333

Canonical form of the line equation: 10x+3y-40 = 0

Parametric form of the line equation:
x = 3t+1
y = -10t+10      ; t ∈ R

Slope angle of line: φ = -73°18'3″ = -1.2793 rad

X intercept: x0 = 4

Y intercept: y0 = q = 13.3333

Distance line from the origin: d0 = 3.8313

The length of the segment AB: |AB| = 10.4403

Vector: AB = (3; -10)

Normal vector: n = (10; 3)

Midpoint of the segment AB: M = [2.5; 5]

Perpendicular Bisector equation: 3x-10y+42.5 = 0

Vector OA = (1; 10) ;   |OA| = 10.0499
Vector OB = (4; 0) ;   |OB| = 4
Scalar product OA .OB = 4
Angle ∠ AOB = 84°17'22″ = 1.4711 rad