Line slope calculator 8x-3y=2


Enter coordinates of two different points:

Straight line given by points A[1; 2] and B[4; 10]

Calculation:

Slope-intercept form of line: y = 2.6667x-0.6667

Canonical form of the line equation: 8x-3y-2 = 0

Parametric form of the line equation:
x = 3t+1
y = 8t+2      ; t ∈ R

Slope: m = 2.6667

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

X intercept: x0 = 0.25

Y intercept: y0 = q = -0.6667

Distance line from the origin: d0 = 0.2341

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; 6]

Perpendicular Bisector equation: 3x+8y-55.5 = 0


Vector OA = (1; 2) ;   |OA| = 2.2361
Vector OB = (4; 10) ;   |OB| = 10.7703
Scalar product OA .OB = 24
Angle ∠ AOB = 4°45'49″ = 0.0831 rad