Line slope calculator 3x-2y=-10


Enter coordinates of two different points:

Straight line given by points A[0; 5] and B[2; 8]

Calculation:

Slope-intercept form of line: y = 1.5x+5

Canonical form of the line equation: 3x-2y+10 = 0

Parametric form of the line equation:
x = 2t
y = 3t+5      ; t ∈ R

Slope: m = 1.5

Slope angle of line: φ = 56°18'36″ = 0.9828 rad

X intercept: x0 = -3.3333

Y intercept: y0 = q = 5

Distance line from the origin: d0 = 2.7735

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

Vector: AB = (2; 3)

Normal vector: n = (3; -2)

Midpoint of the segment AB: M = [1; 6.5]

Perpendicular Bisector equation: 2x+3y-21.5 = 0


Vector OA = (0; 5) ;   |OA| = 5
Vector OB = (2; 8) ;   |OB| = 8.2462
Scalar product OA .OB = 40
Angle ∠ AOB = 14°2'10″ = 0.245 rad