Line slope calculator 2x-5y=4


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[2; 0] and B[7; 2]

Calculation:

Slope: m = 0.4

Slope-intercept form of line: y = 0.4x-0.8

Canonical form of the line equation: 2x-5y-4 = 0

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

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

X intercept: x0 = 2

Y intercept: y0 = q = -0.8

Distance line from the origin: d0 = 0.7428

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

Vector: AB = (5; 2)

Normal vector: n = (2; -5)

Midpoint of the segment AB: M = [4.5; 1]

Perpendicular Bisector equation: 5x+2y-24.5 = 0

Vector OA = (2; 0) ;   |OA| = 2
Vector OB = (7; 2) ;   |OB| = 7.2801
Scalar product OA .OB = 14
Angle ∠ AOB = 15°56'43″ = 0.2783 rad