Line slope calculator 4x-5y=4


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[1; 0] and B[6; 4]

Calculation:

Slope: m = 0.8

Slope-intercept form of line: y = 0.8x-0.8

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

Parametric form of the line equation:
x = 5t+1
y = 4t      ; t ∈ R

Slope angle of line: φ = 38°39'35″ = 0.6747 rad

X intercept: x0 = 1

Y intercept: y0 = q = -0.8

Distance line from the origin: d0 = 0.6247

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

Vector: AB = (5; 4)

Normal vector: n = (4; -5)

Midpoint of the segment AB: M = [3.5; 2]

Perpendicular Bisector equation: 5x+4y-25.5 = 0

Vector OA = (1; 0) ;   |OA| = 1
Vector OB = (6; 4) ;   |OB| = 7.2111
Scalar product OA .OB = 6
Angle ∠ AOB = 33°41'24″ = 0.588 rad