Line slope calculator 2x-3y=8


Enter coordinates of two different points:

Straight line given by points A[4; 0] and B[7; 2]

Calculation:

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

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

Parametric form of the line equation:
x = 3t+4
y = 2t      ; t ∈ R

Slope: m = 0.6667

Slope angle of line: φ = 33°41'24″ = 0.588 rad

X intercept: x0 = 4

Y intercept: y0 = q = -2.6667

Distance line from the origin: d0 = 2.2188

The length of the segment AB: |AB| = 3.6056

Vector: AB = (3; 2)

Normal vector: n = (2; -3)

Midpoint of the segment AB: M = [5.5; 1]

Perpendicular Bisector equation: 3x+2y-18.5 = 0


Vector OA = (4; 0) ;   |OA| = 4
Vector OB = (7; 2) ;   |OB| = 7.2801
Scalar product OA .OB = 28
Angle ∠ AOB = 15°56'43″ = 0.2783 rad