Line slope calculator 10x+3y=100


Enter coordinates of two different points:

Straight line given by points A[7; 10] and B[10; 0]

Calculation:

Slope-intercept form of line: y = -3.3333x+33.3333

Canonical form of the line equation: 10x+3y-100 = 0

Parametric form of the line equation:
x = 3t+7
y = -10t+10      ; t ∈ R

Slope: m = -3.3333

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

X intercept: x0 = 10

Y intercept: y0 = q = 33.3333

Distance line from the origin: d0 = 9.5783

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

Vector: AB = (3; -10)

Normal vector: n = (10; 3)

Midpoint of the segment AB: M = [8.5; 5]

Perpendicular Bisector equation: 3x-10y+24.5 = 0


Vector OA = (7; 10) ;   |OA| = 12.2066
Vector OB = (10; 0) ;   |OB| = 10
Scalar product OA .OB = 70
Angle ∠ AOB = 55°29″ = 0.9601 rad