Line slope calculator 2x+7y=37


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[1; 5] and B[8; 3]

Calculation:

Slope: m = -0.2857

Slope-intercept form of line: y = -0.2857x+5.2857

Canonical form of the line equation: 2x+7y-37 = 0

Parametric form of the line equation:
x = 7t+1
y = -2t+5      ; t ∈ R

Slope angle of line: φ = -15°56'43″ = -0.2783 rad

X intercept: x0 = 18.5

Y intercept: y0 = q = 5.2857

Distance line from the origin: d0 = 5.0823

The length of the segment AB: |AB| = 7.2801

Vector: AB = (7; -2)

Normal vector: n = (2; 7)

Midpoint of the segment AB: M = [4.5; 4]

Perpendicular Bisector equation: 7x-2y-23.5 = 0


Vector OA = (1; 5) ;   |OA| = 5.099
Vector OB = (8; 3) ;   |OB| = 8.544
Scalar product OA .OB = 23
Angle ∠ AOB = 58°8'2″ = 1.0146 rad