Line slope calculator 6x+y=62


Enter coordinates of two different points:

Straight line given by points A[9; 8] and B[10; 2]

Calculation:

Slope-intercept form of line: y = -6x+62

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

Parametric form of the line equation:
x = t+9
y = -6t+8      ; t ∈ R

Slope: m = -6

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

X intercept: x0 = 10.3333

Y intercept: y0 = q = 62

Distance line from the origin: d0 = 10.1927

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

Vector: AB = (1; -6)

Normal vector: n = (6; 1)

Midpoint of the segment AB: M = [9.5; 5]

Perpendicular Bisector equation: x-6y+20.5 = 0


Vector OA = (9; 8) ;   |OA| = 12.0416
Vector OB = (10; 2) ;   |OB| = 10.198
Scalar product OA .OB = 106
Angle ∠ AOB = 30°19'25″ = 0.5292 rad