Line slope calculator 7x+6y=67
Straight line given by points A[1; 10] and B[7; 3]
Calculation:
Slope: m = -1.1667Slope-intercept form of line: y = -1.1667x+11.1667
Canonical form of the line equation: 7x+6y-67 = 0
Parametric form of the line equation:
x = 6t+1
y = -7t+10 ; t ∈ R
Slope angle of line: φ = -49°23'55″ = -0.8622 rad
X intercept: x0 = 9.5714
Y intercept: y0 = q = 11.1667
Distance line from the origin: d0 = 7.2672
The length of the segment AB: |AB| = 9.2195
Vector: AB = (6; -7)
Normal vector: n = (7; 6)
Midpoint of the segment AB: M = [4; 6.5]
Perpendicular Bisector equation: 6x-7y+21.5 = 0
Vector OA = (1; 10) ; |OA| = 10.0499
Vector OB = (7; 3) ; |OB| = 7.6158
Scalar product OA .OB = 37
Angle ∠ AOB = 61°5'27″ = 1.0662 rad