Line slope calculator 2x+6y=62


Enter coordinates of two different points:

Straight line given by points A[1; 10] and B[7; 8]

Calculation:

Slope-intercept form of line: y = -0.3333x+10.3333

Canonical form of the line equation: 2x+6y-62 = 0

Parametric form of the line equation:
x = 6t+1
y = -2t+10      ; t ∈ R

Slope: m = -0.3333

Slope angle of line: φ = -18°26'6″ = -0.3218 rad

X intercept: x0 = 31

Y intercept: y0 = q = 10.3333

Distance line from the origin: d0 = 9.8031

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

Vector: AB = (6; -2)

Normal vector: n = (2; 6)

Midpoint of the segment AB: M = [4; 9]

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


Vector OA = (1; 10) ;   |OA| = 10.0499
Vector OB = (7; 8) ;   |OB| = 10.6301
Scalar product OA .OB = 87
Angle ∠ AOB = 35°28'31″ = 0.6192 rad