Line slope calculator x+y=13


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[3; 10] and B[5; 8]

Calculation:

Slope: m = -1

Slope-intercept form of line: y = -x+13

Canonical form of the line equation: x+y-13 = 0

Parametric form of the line equation:
x = t+3
y = -t+10      ; t ∈ R

Slope angle of line: φ = -45° = -0.7854 rad

X intercept: x0 = 13

Y intercept: y0 = q = 13

Distance line from the origin: d0 = 9.1924

The length of the segment AB: |AB| = 2.8284

Vector: AB = (2; -2)

Normal vector: n = (1; 1)

Midpoint of the segment AB: M = [4; 9]

Perpendicular Bisector equation: 2x-2y+10 = 0

Vector OA = (3; 10) ;   |OA| = 10.4403
Vector OB = (5; 8) ;   |OB| = 9.434
Scalar product OA .OB = 95
Angle ∠ AOB = 15°18'22″ = 0.2671 rad