Line slope calculator 7x+2y=76


Enter the coordinates of two different points:
Line slope diagram

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

Calculation:

Slope: m = -3.5

Slope-intercept form of line: y = -3.5x+38

Canonical form of the line equation: 7x+2y-76 = 0

Parametric form of the line equation:
x = 2t+8
y = -7t+10      ; t ∈ R

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

X intercept: x0 = 10.8571

Y intercept: y0 = q = 38

Distance line from the origin: d0 = 10.4394

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

Vector: AB = (2; -7)

Normal vector: n = (7; 2)

Midpoint of the segment AB: M = [9; 6.5]

Perpendicular Bisector equation: 2x-7y+27.5 = 0

Vector OA = (8; 10) ;   |OA| = 12.8062
Vector OB = (10; 3) ;   |OB| = 10.4403
Scalar product OA .OB = 110
Angle ∠ AOB = 34°38'27″ = 0.6046 rad