Line slope calculator 5x+4y=37


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[1; 8] and B[5; 3]

Calculation:

Slope: m = -1.25

Slope-intercept form of line: y = -1.25x+9.25

Canonical form of the line equation: 5x+4y-37 = 0

Parametric form of the line equation:
x = 4t+1
y = -5t+8      ; t ∈ R

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

X intercept: x0 = 7.4

Y intercept: y0 = q = 9.25

Distance line from the origin: d0 = 5.7784

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

Vector: AB = (4; -5)

Normal vector: n = (5; 4)

Midpoint of the segment AB: M = [3; 5.5]

Perpendicular Bisector equation: 4x-5y+15.5 = 0

Vector OA = (1; 8) ;   |OA| = 8.0623
Vector OB = (5; 3) ;   |OB| = 5.831
Scalar product OA .OB = 29
Angle ∠ AOB = 51°54'40″ = 0.906 rad