Line slope calculator 2x-5y=8


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[4; 0] and B[9; 2]

Calculation:

Slope: m = 0.4

Slope-intercept form of line: y = 0.4x-1.6

Canonical form of the line equation: 2x-5y-8 = 0

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

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

X intercept: x0 = 4

Y intercept: y0 = q = -1.6

Distance line from the origin: d0 = 1.4856

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

Vector: AB = (5; 2)

Normal vector: n = (2; -5)

Midpoint of the segment AB: M = [6.5; 1]

Perpendicular Bisector equation: 5x+2y-34.5 = 0

Vector OA = (4; 0) ;   |OA| = 4
Vector OB = (9; 2) ;   |OB| = 9.2195
Scalar product OA .OB = 36
Angle ∠ AOB = 12°31'44″ = 0.2187 rad