Line slope calculator 3x+5y=24


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[3; 3] and B[8; 0]

Calculation:

Slope: m = -0.6

Slope-intercept form of line: y = -0.6x+4.8

Canonical form of the line equation: 3x+5y-24 = 0

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

Slope angle of line: φ = -30°57'50″ = -0.5404 rad

X intercept: x0 = 8

Y intercept: y0 = q = 4.8

Distance line from the origin: d0 = 4.116

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

Vector: AB = (5; -3)

Normal vector: n = (3; 5)

Midpoint of the segment AB: M = [5.5; 1.5]

Perpendicular Bisector equation: 5x-3y-23 = 0

Vector OA = (3; 3) ;   |OA| = 4.2426
Vector OB = (8; 0) ;   |OB| = 8
Scalar product OA .OB = 24
Angle ∠ AOB = 45° = 0.7854 rad