Line slope calculator 2x+7y=23


Enter the coordinates of two different points:
Line slope diagram

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

Calculation:

Slope: m = -0.2857

Slope-intercept form of line: y = -0.2857x+3.2857

Canonical form of the line equation: 2x+7y-23 = 0

Parametric form of the line equation:
x = 7t+1
y = -2t+3      ; t ∈ R

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

X intercept: x0 = 11.5

Y intercept: y0 = q = 3.2857

Distance line from the origin: d0 = 3.1593

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; 2]

Perpendicular Bisector equation: 7x-2y-27.5 = 0

Vector OA = (1; 3) ;   |OA| = 3.1623
Vector OB = (8; 1) ;   |OB| = 8.0623
Scalar product OA .OB = 11
Angle ∠ AOB = 64°26'24″ = 1.1247 rad