Line slope calculator 4x-5y=-20


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[0; 4] and B[5; 8]

Calculation:

Slope: m = 0.8

Slope-intercept form of line: y = 0.8x+4

Canonical form of the line equation: 4x-5y+20 = 0

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

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

X intercept: x0 = -5

Y intercept: y0 = q = 4

Distance line from the origin: d0 = 3.1235

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

Vector: AB = (5; 4)

Normal vector: n = (4; -5)

Midpoint of the segment AB: M = [2.5; 6]

Perpendicular Bisector equation: 5x+4y-36.5 = 0


Vector OA = (0; 4) ;   |OA| = 4
Vector OB = (5; 8) ;   |OB| = 9.434
Scalar product OA .OB = 32
Angle ∠ AOB = 32°19″ = 0.5586 rad