Line slope calculator 4x-5y=2


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[3; 2] and B[8; 6]

Calculation:

Slope: m = 0.8

Slope-intercept form of line: y = 0.8x-0.4

Canonical form of the line equation: 4x-5y-2 = 0

Parametric form of the line equation:
x = 5t+3
y = 4t+2      ; t ∈ R

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

X intercept: x0 = 0.5

Y intercept: y0 = q = -0.4

Distance line from the origin: d0 = 0.3123

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

Vector: AB = (5; 4)

Normal vector: n = (4; -5)

Midpoint of the segment AB: M = [5.5; 4]

Perpendicular Bisector equation: 5x+4y-43.5 = 0


Vector OA = (3; 2) ;   |OA| = 3.6056
Vector OB = (8; 6) ;   |OB| = 10
Scalar product OA .OB = 36
Angle ∠ AOB = 3°10'47″ = 0.0555 rad