Line slope calculator 5x+7y=85


Enter coordinates of two different points:

Straight line given by points A[3; 10] and B[10; 5]

Calculation:

Slope-intercept form of line: y = -0.7143x+12.1429

Canonical form of the line equation: 5x+7y-85 = 0

Parametric form of the line equation:
x = 7t+3
y = -5t+10      ; t ∈ R

Slope: m = -0.7143

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

X intercept: x0 = 17

Y intercept: y0 = q = 12.1429

Distance line from the origin: d0 = 9.881

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; 7.5]

Perpendicular Bisector equation: 7x-5y-8 = 0


Vector OA = (3; 10) ;   |OA| = 10.4403
Vector OB = (10; 5) ;   |OB| = 11.1803
Scalar product OA .OB = 80
Angle ∠ AOB = 46°44'9″ = 0.8157 rad