Line slope calculator 5x+7y=71


Enter coordinates of two different points:

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

Calculation:

Slope-intercept form of line: y = -0.7143x+10.1429

Canonical form of the line equation: 5x+7y-71 = 0

Parametric form of the line equation:
x = 7t+3
y = -5t+8      ; t ∈ R

Slope: m = -0.7143

Slope angle of line: φ = -35°32'16″ = -0.6202 rad

X intercept: x0 = 14.2

Y intercept: y0 = q = 10.1429

Distance line from the origin: d0 = 8.2536

The length of the segment AB: |AB| = 8.6023

Vector: AB = (7; -5)

Normal vector: n = (5; 7)

Midpoint of the segment AB: M = [6.5; 5.5]

Perpendicular Bisector equation: 7x-5y-18 = 0


Vector OA = (3; 8) ;   |OA| = 8.544
Vector OB = (10; 3) ;   |OB| = 10.4403
Scalar product OA .OB = 54
Angle ∠ AOB = 52°44'41″ = 0.9206 rad