Line slope calculator 7x+2y=51


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[5; 8] and B[7; 1]

Calculation:

Slope: m = -3.5

Slope-intercept form of line: y = -3.5x+25.5

Canonical form of the line equation: 7x+2y-51 = 0

Parametric form of the line equation:
x = 2t+5
y = -7t+8      ; t ∈ R

Slope angle of line: φ = -74°3'17″ = -1.2925 rad

X intercept: x0 = 7.2857

Y intercept: y0 = q = 25.5

Distance line from the origin: d0 = 7.0054

The length of the segment AB: |AB| = 7.2801

Vector: AB = (2; -7)

Normal vector: n = (7; 2)

Midpoint of the segment AB: M = [6; 4.5]

Perpendicular Bisector equation: 2x-7y+19.5 = 0

Vector OA = (5; 8) ;   |OA| = 9.434
Vector OB = (7; 1) ;   |OB| = 7.0711
Scalar product OA .OB = 43
Angle ∠ AOB = 49°51'52″ = 0.8703 rad