Line slope calculator 8x-y=48


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[6; 0] and B[7; 8]

Calculation:

Slope: m = 8

Slope-intercept form of line: y = 8x-48

Canonical form of the line equation: 8x-y-48 = 0

Parametric form of the line equation:
x = t+6
y = 8t      ; t ∈ R

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

X intercept: x0 = 6

Y intercept: y0 = q = -48

Distance line from the origin: d0 = 5.9537

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

Vector: AB = (1; 8)

Normal vector: n = (8; -1)

Midpoint of the segment AB: M = [6.5; 4]

Perpendicular Bisector equation: x+8y-38.5 = 0

Vector OA = (6; 0) ;   |OA| = 6
Vector OB = (7; 8) ;   |OB| = 10.6301
Scalar product OA .OB = 42
Angle ∠ AOB = 48°48'51″ = 0.852 rad