Line slope calculator 2x-5y=-20


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[0; 4] and B[5; 6]

Calculation:

Slope: m = 0.4

Slope-intercept form of line: y = 0.4x+4

Canonical form of the line equation: 2x-5y+20 = 0

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

Slope angle of line: φ = 21°48'5″ = 0.3805 rad

X intercept: x0 = -10

Y intercept: y0 = q = 4

Distance line from the origin: d0 = 3.7139

The length of the segment AB: |AB| = 5.3852

Vector: AB = (5; 2)

Normal vector: n = (2; -5)

Midpoint of the segment AB: M = [2.5; 5]

Perpendicular Bisector equation: 5x+2y-22.5 = 0

Vector OA = (0; 4) ;   |OA| = 4
Vector OB = (5; 6) ;   |OB| = 7.8102
Scalar product OA .OB = 24
Angle ∠ AOB = 39°48'20″ = 0.6947 rad