Line slope calculator 8x+y=48


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[5; 8] and B[6; 0]

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+5
y = -8t+8      ; 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 = [5.5; 4]

Perpendicular Bisector equation: x-8y+26.5 = 0


Vector OA = (5; 8) ;   |OA| = 9.434
Vector OB = (6; 0) ;   |OB| = 6
Scalar product OA .OB = 30
Angle ∠ AOB = 57°59'41″ = 1.0122 rad