Line slope calculator 5x+7y=80


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[2; 10] and B[9; 5]

Calculation:

Slope: m = -0.7143

Slope-intercept form of line: y = -0.7143x+11.4286

Canonical form of the line equation: 5x+7y-80 = 0

Parametric form of the line equation:
x = 7t+2
y = -5t+10      ; t ∈ R

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

X intercept: x0 = 16

Y intercept: y0 = q = 11.4286

Distance line from the origin: d0 = 9.2998

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

Vector: AB = (7; -5)

Normal vector: n = (5; 7)

Midpoint of the segment AB: M = [5.5; 7.5]

Perpendicular Bisector equation: 7x-5y-1 = 0

Vector OA = (2; 10) ;   |OA| = 10.198
Vector OB = (9; 5) ;   |OB| = 10.2956
Scalar product OA .OB = 68
Angle ∠ AOB = 49°38'8″ = 0.8663 rad