Line slope calculator 6x-y=40


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[7; 2] and B[8; 8]

Calculation:

Slope: m = 6

Slope-intercept form of line: y = 6x-40

Canonical form of the line equation: 6x-y-40 = 0

Parametric form of the line equation:
x = t+7
y = 6t+2      ; t ∈ R

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

X intercept: x0 = 6.6667

Y intercept: y0 = q = -40

Distance line from the origin: d0 = 6.576

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; 5]

Perpendicular Bisector equation: x+6y-37.5 = 0

Vector OA = (7; 2) ;   |OA| = 7.2801
Vector OB = (8; 8) ;   |OB| = 11.3137
Scalar product OA .OB = 72
Angle ∠ AOB = 29°3'17″ = 0.5071 rad