Line slope calculator 8x+y=82


Enter the coordinates of two different points:
Line slope diagram

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

Calculation:

Slope: m = -8

Slope-intercept form of line: y = -8x+82

Canonical form of the line equation: 8x+y-82 = 0

Parametric form of the line equation:
x = t+9
y = -8t+10      ; t ∈ R

Slope angle of line: φ = -82°52'30″ = -1.4464 rad

X intercept: x0 = 10.25

Y intercept: y0 = q = 82

Distance line from the origin: d0 = 10.1708

The length of the segment AB: |AB| = 8.0623

Vector: AB = (1; -8)

Normal vector: n = (8; 1)

Midpoint of the segment AB: M = [9.5; 6]

Perpendicular Bisector equation: x-8y+38.5 = 0

Vector OA = (9; 10) ;   |OA| = 13.4536
Vector OB = (10; 2) ;   |OB| = 10.198
Scalar product OA .OB = 110
Angle ∠ AOB = 36°42'10″ = 0.6406 rad