Line slope calculator 2x-5y=-38


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[1; 8] and B[6; 10]

Calculation:

Slope: m = 0.4

Slope-intercept form of line: y = 0.4x+7.6

Canonical form of the line equation: 2x-5y+38 = 0

Parametric form of the line equation:
x = 5t+1
y = 2t+8      ; t ∈ R

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

X intercept: x0 = -19

Y intercept: y0 = q = 7.6

Distance line from the origin: d0 = 7.0564

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

Vector: AB = (5; 2)

Normal vector: n = (2; -5)

Midpoint of the segment AB: M = [3.5; 9]

Perpendicular Bisector equation: 5x+2y-35.5 = 0

Vector OA = (1; 8) ;   |OA| = 8.0623
Vector OB = (6; 10) ;   |OB| = 11.6619
Scalar product OA .OB = 86
Angle ∠ AOB = 23°50'19″ = 0.4161 rad