Line slope calculator 6x-7y=18
Straight line given by points A[3; 0] and B[10; 6]
Calculation:
Slope: m = 0.8571Slope-intercept form of line: y = 0.8571x-2.5714
Canonical form of the line equation: 6x-7y-18 = 0
Parametric form of the line equation:
x = 7t+3
y = 6t ; t ∈ R
Slope angle of line: φ = 40°36'5″ = 0.7086 rad
X intercept: x0 = 3
Y intercept: y0 = q = -2.5714
Distance line from the origin: d0 = 1.9524
The length of the segment AB: |AB| = 9.2195
Vector: AB = (7; 6)
Normal vector: n = (6; -7)
Midpoint of the segment AB: M = [6.5; 3]
Perpendicular Bisector equation: 7x+6y-63.5 = 0
Vector OA = (3; 0) ; |OA| = 3
Vector OB = (10; 6) ; |OB| = 11.6619
Scalar product OA .OB = 30
Angle ∠ AOB = 30°57'50″ = 0.5404 rad