Line slope calculator 6x+7y=74


Enter the coordinates of two different points:
Line slope diagram

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

Calculation:

Slope: m = -0.8571

Slope-intercept form of line: y = -0.8571x+10.5714

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

Parametric form of the line equation:
x = 7t+3
y = -6t+8      ; t ∈ R

Slope angle of line: φ = -40°36'5″ = -0.7086 rad

X intercept: x0 = 12.3333

Y intercept: y0 = q = 10.5714

Distance line from the origin: d0 = 8.0264

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; 5]

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

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