Line slope calculator 5x+7y=47


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[1; 6] and B[8; 1]

Calculation:

Slope: m = -0.7143

Slope-intercept form of line: y = -0.7143x+6.7143

Canonical form of the line equation: 5x+7y-47 = 0

Parametric form of the line equation:
x = 7t+1
y = -5t+6      ; t ∈ R

Slope angle of line: φ = -35°32'16″ = -0.6202 rad

X intercept: x0 = 9.4

Y intercept: y0 = q = 6.7143

Distance line from the origin: d0 = 5.4636

The length of the segment AB: |AB| = 8.6023

Vector: AB = (7; -5)

Normal vector: n = (5; 7)

Midpoint of the segment AB: M = [4.5; 3.5]

Perpendicular Bisector equation: 7x-5y-14 = 0

Vector OA = (1; 6) ;   |OA| = 6.0828
Vector OB = (8; 1) ;   |OB| = 8.0623
Scalar product OA .OB = 14
Angle ∠ AOB = 73°24'46″ = 1.2813 rad