Line slope calculator 7x+5y=71


Enter coordinates of two different points:

Straight line given by points A[3; 10] and B[8; 3]

Calculation:

Slope-intercept form of line: y = -1.4x+14.2

Canonical form of the line equation: 7x+5y-71 = 0

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

Slope: m = -1.4

Slope angle of line: φ = -54°27'44″ = -0.9505 rad

X intercept: x0 = 10.1429

Y intercept: y0 = q = 14.2

Distance line from the origin: d0 = 8.2536

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

Vector: AB = (5; -7)

Normal vector: n = (7; 5)

Midpoint of the segment AB: M = [5.5; 6.5]

Perpendicular Bisector equation: 5x-7y+18 = 0


Vector OA = (3; 10) ;   |OA| = 10.4403
Vector OB = (8; 3) ;   |OB| = 8.544
Scalar product OA .OB = 54
Angle ∠ AOB = 52°44'41″ = 0.9206 rad