Line slope calculator 3x+7y=37


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[3; 4] and B[10; 1]

Calculation:

Slope: m = -0.4286

Slope-intercept form of line: y = -0.4286x+5.2857

Canonical form of the line equation: 3x+7y-37 = 0

Parametric form of the line equation:
x = 7t+3
y = -3t+4      ; t ∈ R

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

X intercept: x0 = 12.3333

Y intercept: y0 = q = 5.2857

Distance line from the origin: d0 = 4.8583

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

Vector: AB = (7; -3)

Normal vector: n = (3; 7)

Midpoint of the segment AB: M = [6.5; 2.5]

Perpendicular Bisector equation: 7x-3y-38 = 0

Vector OA = (3; 4) ;   |OA| = 5
Vector OB = (10; 1) ;   |OB| = 10.0499
Scalar product OA .OB = 34
Angle ∠ AOB = 47°25'10″ = 0.8276 rad