Line slope calculator 5x+7y=71
Straight line given by points A[3; 8] and B[10; 3]
Calculation:
Slope: m = -0.7143Slope-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 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