Line slope calculator 2x+8y=82


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[1; 10] and B[9; 8]

Calculation:

Slope: m = -0.25

Slope-intercept form of line: y = -0.25x+10.25

Canonical form of the line equation: 2x+8y-82 = 0

Parametric form of the line equation:
x = 8t+1
y = -2t+10      ; t ∈ R

Slope angle of line: φ = -14°2'10″ = -0.245 rad

X intercept: x0 = 41

Y intercept: y0 = q = 10.25

Distance line from the origin: d0 = 9.944

The length of the segment AB: |AB| = 8.2462

Vector: AB = (8; -2)

Normal vector: n = (2; 8)

Midpoint of the segment AB: M = [5; 9]

Perpendicular Bisector equation: 8x-2y-22 = 0

Vector OA = (1; 10) ;   |OA| = 10.0499
Vector OB = (9; 8) ;   |OB| = 12.0416
Scalar product OA .OB = 89
Angle ∠ AOB = 42°39'21″ = 0.7445 rad