Line slope calculator 7x+6y=76
Straight line given by points A[4; 8] and B[10; 1]
Calculation:
Slope: m = -1.1667Slope-intercept form of line: y = -1.1667x+12.6667
Canonical form of the line equation: 7x+6y-76 = 0
Parametric form of the line equation:
x = 6t+4
y = -7t+8 ; t ∈ R
Slope angle of line: φ = -49°23'55″ = -0.8622 rad
X intercept: x0 = 10.8571
Y intercept: y0 = q = 12.6667
Distance line from the origin: d0 = 8.2434
The length of the segment AB: |AB| = 9.2195
Vector: AB = (6; -7)
Normal vector: n = (7; 6)
Midpoint of the segment AB: M = [7; 4.5]
Perpendicular Bisector equation: 6x-7y-10.5 = 0
Vector OA = (4; 8) ; |OA| = 8.9443
Vector OB = (10; 1) ; |OB| = 10.0499
Scalar product OA .OB = 48
Angle ∠ AOB = 57°43'28″ = 1.0075 rad