Line slope calculator 3x+7y=45


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[1; 6] and B[8; 3]

Calculation:

Slope: m = -0.4286

Slope-intercept form of line: y = -0.4286x+6.4286

Canonical form of the line equation: 3x+7y-45 = 0

Parametric form of the line equation:
x = 7t+1
y = -3t+6      ; t ∈ R

Slope angle of line: φ = -23°11'55″ = -0.4049 rad

X intercept: x0 = 15

Y intercept: y0 = q = 6.4286

Distance line from the origin: d0 = 5.9088

The length of the segment AB: |AB| = 7.6158

Vector: AB = (7; -3)

Normal vector: n = (3; 7)

Midpoint of the segment AB: M = [4.5; 4.5]

Perpendicular Bisector equation: 7x-3y-18 = 0

Vector OA = (1; 6) ;   |OA| = 6.0828
Vector OB = (8; 3) ;   |OB| = 8.544
Scalar product OA .OB = 26
Angle ∠ AOB = 59°58'54″ = 1.0469 rad