Line slope calculator 4x+5y=56


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[4; 8] and B[9; 4]

Calculation:

Slope: m = -0.8

Slope-intercept form of line: y = -0.8x+11.2

Canonical form of the line equation: 4x+5y-56 = 0

Parametric form of the line equation:
x = 5t+4
y = -4t+8      ; t ∈ R

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

X intercept: x0 = 14

Y intercept: y0 = q = 11.2

Distance line from the origin: d0 = 8.7457

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

Vector: AB = (5; -4)

Normal vector: n = (4; 5)

Midpoint of the segment AB: M = [6.5; 6]

Perpendicular Bisector equation: 5x-4y-8.5 = 0

Vector OA = (4; 8) ;   |OA| = 8.9443
Vector OB = (9; 4) ;   |OB| = 9.8489
Scalar product OA .OB = 68
Angle ∠ AOB = 39°28'21″ = 0.6889 rad