Line slope calculator 5x+7y=57


Enter coordinates of two different points:

Straight line given by points A[3; 6] and B[10; 1]

Calculation:

Slope-intercept form of line: y = -0.7143x+8.1429

Canonical form of the line equation: 5x+7y-57 = 0

Parametric form of the line equation:
x = 7t+3
y = -5t+6      ; t ∈ R

Slope: m = -0.7143

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

X intercept: x0 = 11.4

Y intercept: y0 = q = 8.1429

Distance line from the origin: d0 = 6.6261

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

Vector: AB = (7; -5)

Normal vector: n = (5; 7)

Midpoint of the segment AB: M = [6.5; 3.5]

Perpendicular Bisector equation: 7x-5y-28 = 0


Vector OA = (3; 6) ;   |OA| = 6.7082
Vector OB = (10; 1) ;   |OB| = 10.0499
Scalar product OA .OB = 36
Angle ∠ AOB = 57°43'28″ = 1.0075 rad