Line slope calculator 7x+6y=67


Enter coordinates of two different points:

Straight line given by points A[1; 10] and B[7; 3]

Calculation:

Slope-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: m = -1.1667

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