Line slope calculator 8x+y=72


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[8; 8] and B[9; 0]

Calculation:

Slope: m = -8

Slope-intercept form of line: y = -8x+72

Canonical form of the line equation: 8x+y-72 = 0

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

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

X intercept: x0 = 9

Y intercept: y0 = q = 72

Distance line from the origin: d0 = 8.9305

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

Vector: AB = (1; -8)

Normal vector: n = (8; 1)

Midpoint of the segment AB: M = [8.5; 4]

Perpendicular Bisector equation: x-8y+23.5 = 0

Vector OA = (8; 8) ;   |OA| = 11.3137
Vector OB = (9; 0) ;   |OB| = 9
Scalar product OA .OB = 72
Angle ∠ AOB = 45° = 0.7854 rad