Line slope calculator 3x+7y=65


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[3; 8] and B[10; 5]

Calculation:

Slope: m = -0.4286

Slope-intercept form of line: y = -0.4286x+9.2857

Canonical form of the line equation: 3x+7y-65 = 0

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

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

X intercept: x0 = 21.6667

Y intercept: y0 = q = 9.2857

Distance line from the origin: d0 = 8.5349

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; 6.5]

Perpendicular Bisector equation: 7x-3y-26 = 0


Vector OA = (3; 8) ;   |OA| = 8.544
Vector OB = (10; 5) ;   |OB| = 11.1803
Scalar product OA .OB = 70
Angle ∠ AOB = 42°52'44″ = 0.7484 rad