Line slope calculator 7x+2y=37


Enter coordinates of two different points:

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

Calculation:

Slope-intercept form of line: y = -3.5x+18.5

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

Parametric form of the line equation:
x = 2t+3
y = -7t+8      ; t ∈ R

Slope: m = -3.5

Slope angle of line: φ = -74°3'17″ = -1.2925 rad

X intercept: x0 = 5.2857

Y intercept: y0 = q = 18.5

Distance line from the origin: d0 = 5.0823

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

Vector: AB = (2; -7)

Normal vector: n = (7; 2)

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

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


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