Line slope calculator 8x+y=56


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[6; 8] and B[7; 0]

Calculation:

Slope: m = -8

Slope-intercept form of line: y = -8x+56

Canonical form of the line equation: 8x+y-56 = 0

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

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

X intercept: x0 = 7

Y intercept: y0 = q = 56

Distance line from the origin: d0 = 6.9459

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

Vector: AB = (1; -8)

Normal vector: n = (8; 1)

Midpoint of the segment AB: M = [6.5; 4]

Perpendicular Bisector equation: x-8y+25.5 = 0

Vector OA = (6; 8) ;   |OA| = 10
Vector OB = (7; 0) ;   |OB| = 7
Scalar product OA .OB = 42
Angle ∠ AOB = 53°7'48″ = 0.9273 rad