Line slope calculator 4x-5y=20


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[5; 0] and B[10; 4]

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+5
y = 4t      ; 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 = [7.5; 2]

Perpendicular Bisector equation: 5x+4y-45.5 = 0

Vector OA = (5; 0) ;   |OA| = 5
Vector OB = (10; 4) ;   |OB| = 10.7703
Scalar product OA .OB = 50
Angle ∠ AOB = 21°48'5″ = 0.3805 rad