Line slope calculator 3x-2y=20


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[8; 2] and B[10; 5]

Calculation:

Slope: m = 1.5

Slope-intercept form of line: y = 1.5x-10

Canonical form of the line equation: 3x-2y-20 = 0

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

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

X intercept: x0 = 6.6667

Y intercept: y0 = q = -10

Distance line from the origin: d0 = 5.547

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

Vector: AB = (2; 3)

Normal vector: n = (3; -2)

Midpoint of the segment AB: M = [9; 3.5]

Perpendicular Bisector equation: 2x+3y-28.5 = 0

Vector OA = (8; 2) ;   |OA| = 8.2462
Vector OB = (10; 5) ;   |OB| = 11.1803
Scalar product OA .OB = 90
Angle ∠ AOB = 12°31'44″ = 0.2187 rad