Line slope calculator 2x+7y=76


Enter coordinates of two different points:

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

Calculation:

Slope-intercept form of line: y = -0.2857x+10.8571

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

Parametric form of the line equation:
x = 7t+3
y = -2t+10      ; t ∈ R

Slope: m = -0.2857

Slope angle of line: φ = -15°56'43″ = -0.2783 rad

X intercept: x0 = 38

Y intercept: y0 = q = 10.8571

Distance line from the origin: d0 = 10.4394

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

Vector: AB = (7; -2)

Normal vector: n = (2; 7)

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

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


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