Line slope calculator 8x-3y=8


Enter coordinates of two different points:

Straight line given by points A[1; 0] and B[4; 8]

Calculation:

Slope-intercept form of line: y = 2.6667x-2.6667

Canonical form of the line equation: 8x-3y-8 = 0

Parametric form of the line equation:
x = 3t+1
y = 8t      ; t ∈ R

Slope: m = 2.6667

Slope angle of line: φ = 69°26'38″ = 1.212 rad

X intercept: x0 = 1

Y intercept: y0 = q = -2.6667

Distance line from the origin: d0 = 0.9363

The length of the segment AB: |AB| = 8.544

Vector: AB = (3; 8)

Normal vector: n = (8; -3)

Midpoint of the segment AB: M = [2.5; 4]

Perpendicular Bisector equation: 3x+8y-39.5 = 0


Vector OA = (1; 0) ;   |OA| = 1
Vector OB = (4; 8) ;   |OB| = 8.9443
Scalar product OA .OB = 4
Angle ∠ AOB = 63°26'6″ = 1.1071 rad