Line slope calculator 6x+y=48


Enter the coordinates of two different points:
Line slope diagram

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

Calculation:

Slope: m = -6

Slope-intercept form of line: y = -6x+48

Canonical form of the line equation: 6x+y-48 = 0

Parametric form of the line equation:
x = t+7
y = -6t+6      ; t ∈ R

Slope angle of line: φ = -80°32'16″ = -1.4056 rad

X intercept: x0 = 8

Y intercept: y0 = q = 48

Distance line from the origin: d0 = 7.8912

The length of the segment AB: |AB| = 6.0828

Vector: AB = (1; -6)

Normal vector: n = (6; 1)

Midpoint of the segment AB: M = [7.5; 3]

Perpendicular Bisector equation: x-6y+10.5 = 0

Vector OA = (7; 6) ;   |OA| = 9.2195
Vector OB = (8; 0) ;   |OB| = 8
Scalar product OA .OB = 56
Angle ∠ AOB = 40°36'5″ = 0.7086 rad