Line slope calculator 5x-4y=30


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[6; 0] and B[10; 5]

Calculation:

Slope: m = 1.25

Slope-intercept form of line: y = 1.25x-7.5

Canonical form of the line equation: 5x-4y-30 = 0

Parametric form of the line equation:
x = 4t+6
y = 5t      ; t ∈ R

Slope angle of line: φ = 51°20'25″ = 0.8961 rad

X intercept: x0 = 6

Y intercept: y0 = q = -7.5

Distance line from the origin: d0 = 4.6852

The length of the segment AB: |AB| = 6.4031

Vector: AB = (4; 5)

Normal vector: n = (5; -4)

Midpoint of the segment AB: M = [8; 2.5]

Perpendicular Bisector equation: 4x+5y-44.5 = 0

Vector OA = (6; 0) ;   |OA| = 6
Vector OB = (10; 5) ;   |OB| = 11.1803
Scalar product OA .OB = 60
Angle ∠ AOB = 26°33'54″ = 0.4636 rad