Line slope calculator 8x-y=38


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[5; 2] and B[6; 10]

Calculation:

Slope: m = 8

Slope-intercept form of line: y = 8x-38

Canonical form of the line equation: 8x-y-38 = 0

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

Slope angle of line: φ = 82°52'30″ = 1.4464 rad

X intercept: x0 = 4.75

Y intercept: y0 = q = -38

Distance line from the origin: d0 = 4.7133

The length of the segment AB: |AB| = 8.0623

Vector: AB = (1; 8)

Normal vector: n = (8; -1)

Midpoint of the segment AB: M = [5.5; 6]

Perpendicular Bisector equation: x+8y-53.5 = 0


Vector OA = (5; 2) ;   |OA| = 5.3852
Vector OB = (6; 10) ;   |OB| = 11.6619
Scalar product OA .OB = 50
Angle ∠ AOB = 37°14'5″ = 0.6499 rad