Line slope calculator 8x-y=24


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[3; 0] and B[4; 8]

Calculation:

Slope: m = 8

Slope-intercept form of line: y = 8x-24

Canonical form of the line equation: 8x-y-24 = 0

Parametric form of the line equation:
x = t+3
y = 8t      ; t ∈ R

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

X intercept: x0 = 3

Y intercept: y0 = q = -24

Distance line from the origin: d0 = 2.9768

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

Vector: AB = (1; 8)

Normal vector: n = (8; -1)

Midpoint of the segment AB: M = [3.5; 4]

Perpendicular Bisector equation: x+8y-35.5 = 0

Vector OA = (3; 0) ;   |OA| = 3
Vector OB = (4; 8) ;   |OB| = 8.9443
Scalar product OA .OB = 12
Angle ∠ AOB = 63°26'6″ = 1.1071 rad