Line slope calculator 5x-3y=-4


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[1; 3] and B[4; 8]

Calculation:

Slope: m = 1.6667

Slope-intercept form of line: y = 1.6667x+1.3333

Canonical form of the line equation: 5x-3y+4 = 0

Parametric form of the line equation:
x = 3t+1
y = 5t+3      ; t ∈ R

Slope angle of line: φ = 59°2'10″ = 1.0304 rad

X intercept: x0 = -0.8

Y intercept: y0 = q = 1.3333

Distance line from the origin: d0 = 0.686

The length of the segment AB: |AB| = 5.831

Vector: AB = (3; 5)

Normal vector: n = (5; -3)

Midpoint of the segment AB: M = [2.5; 5.5]

Perpendicular Bisector equation: 3x+5y-35 = 0

Vector OA = (1; 3) ;   |OA| = 3.1623
Vector OB = (4; 8) ;   |OB| = 8.9443
Scalar product OA .OB = 28
Angle ∠ AOB = 8°7'48″ = 0.1419 rad