Line slope calculator 5x-4y=-2


Enter the coordinates of two different points:
Line slope diagram

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

Calculation:

Slope: m = 1.25

Slope-intercept form of line: y = 1.25x+0.5

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

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

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

X intercept: x0 = -0.4

Y intercept: y0 = q = 0.5

Distance line from the origin: d0 = 0.3123

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

Vector: AB = (4; 5)

Normal vector: n = (5; -4)

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

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

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