Line slope calculator 3x-4y=6


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[2; 0] and B[6; 3]

Calculation:

Slope: m = 0.75

Slope-intercept form of line: y = 0.75x-1.5

Canonical form of the line equation: 3x-4y-6 = 0

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

Slope angle of line: φ = 36°52'12″ = 0.6435 rad

X intercept: x0 = 2

Y intercept: y0 = q = -1.5

Distance line from the origin: d0 = 1.2

The length of the segment AB: |AB| = 5

Vector: AB = (4; 3)

Normal vector: n = (3; -4)

Midpoint of the segment AB: M = [4; 1.5]

Perpendicular Bisector equation: 4x+3y-20.5 = 0

Vector OA = (2; 0) ;   |OA| = 2
Vector OB = (6; 3) ;   |OB| = 6.7082
Scalar product OA .OB = 12
Angle ∠ AOB = 26°33'54″ = 0.4636 rad