Line slope calculator 6x+y=52


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[7; 10] and B[8; 4]

Calculation:

Slope: m = -6

Slope-intercept form of line: y = -6x+52

Canonical form of the line equation: 6x+y-52 = 0

Parametric form of the line equation:
x = t+7
y = -6t+10      ; t ∈ R

Slope angle of line: φ = -80°32'16″ = -1.4056 rad

X intercept: x0 = 8.6667

Y intercept: y0 = q = 52

Distance line from the origin: d0 = 8.5487

The length of the segment AB: |AB| = 6.0828

Vector: AB = (1; -6)

Normal vector: n = (6; 1)

Midpoint of the segment AB: M = [7.5; 7]

Perpendicular Bisector equation: x-6y+34.5 = 0

Vector OA = (7; 10) ;   |OA| = 12.2066
Vector OB = (8; 4) ;   |OB| = 8.9443
Scalar product OA .OB = 96
Angle ∠ AOB = 28°26'35″ = 0.4964 rad