Line slope calculator 5x+8y=64


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[0; 8] and B[8; 3]

Calculation:

Slope: m = -0.625

Slope-intercept form of line: y = -0.625x+8

Canonical form of the line equation: 5x+8y-64 = 0

Parametric form of the line equation:
x = 8t
y = -5t+8      ; t ∈ R

Slope angle of line: φ = -32°19″ = -0.5586 rad

X intercept: x0 = 12.8

Y intercept: y0 = q = 8

Distance line from the origin: d0 = 6.784

The length of the segment AB: |AB| = 9.434

Vector: AB = (8; -5)

Normal vector: n = (5; 8)

Midpoint of the segment AB: M = [4; 5.5]

Perpendicular Bisector equation: 8x-5y-4.5 = 0

Vector OA = (0; 8) ;   |OA| = 8
Vector OB = (8; 3) ;   |OB| = 8.544
Scalar product OA .OB = 24
Angle ∠ AOB = 69°26'38″ = 1.212 rad