Line slope calculator 6x+2y=50


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[5; 10] and B[7; 4]

Calculation:

Slope: m = -3

Slope-intercept form of line: y = -3x+25

Canonical form of the line equation: 6x+2y-50 = 0

Parametric form of the line equation:
x = 2t+5
y = -6t+10      ; t ∈ R

Slope angle of line: φ = -71°33'54″ = -1.249 rad

X intercept: x0 = 8.3333

Y intercept: y0 = q = 25

Distance line from the origin: d0 = 7.9057

The length of the segment AB: |AB| = 6.3246

Vector: AB = (2; -6)

Normal vector: n = (6; 2)

Midpoint of the segment AB: M = [6; 7]

Perpendicular Bisector equation: 2x-6y+30 = 0

Vector OA = (5; 10) ;   |OA| = 11.1803
Vector OB = (7; 4) ;   |OB| = 8.0623
Scalar product OA .OB = 75
Angle ∠ AOB = 33°41'24″ = 0.588 rad