Line slope calculator 7x+6y=74


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[2; 10] and B[8; 3]

Calculation:

Slope: m = -1.1667

Slope-intercept form of line: y = -1.1667x+12.3333

Canonical form of the line equation: 7x+6y-74 = 0

Parametric form of the line equation:
x = 6t+2
y = -7t+10      ; t ∈ R

Slope angle of line: φ = -49°23'55″ = -0.8622 rad

X intercept: x0 = 10.5714

Y intercept: y0 = q = 12.3333

Distance line from the origin: d0 = 8.0264

The length of the segment AB: |AB| = 9.2195

Vector: AB = (6; -7)

Normal vector: n = (7; 6)

Midpoint of the segment AB: M = [5; 6.5]

Perpendicular Bisector equation: 6x-7y+15.5 = 0

Vector OA = (2; 10) ;   |OA| = 10.198
Vector OB = (8; 3) ;   |OB| = 8.544
Scalar product OA .OB = 46
Angle ∠ AOB = 58°8'2″ = 1.0146 rad