Line slope calculator 5x-8y=-8


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[0; 1] and B[8; 6]

Calculation:

Slope: m = 0.625

Slope-intercept form of line: y = 0.625x+1

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

Parametric form of the line equation:
x = 8t
y = 5t+1      ; t ∈ R

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

X intercept: x0 = -1.6

Y intercept: y0 = q = 1

Distance line from the origin: d0 = 0.848

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; 3.5]

Perpendicular Bisector equation: 8x+5y-49.5 = 0

Vector OA = (0; 1) ;   |OA| = 1
Vector OB = (8; 6) ;   |OB| = 10
Scalar product OA .OB = 6
Angle ∠ AOB = 53°7'48″ = 0.9273 rad