Line slope calculator 5x+7y=75


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[1; 10] and B[8; 5]

Calculation:

Slope: m = -0.7143

Slope-intercept form of line: y = -0.7143x+10.7143

Canonical form of the line equation: 5x+7y-75 = 0

Parametric form of the line equation:
x = 7t+1
y = -5t+10      ; t ∈ R

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

X intercept: x0 = 15

Y intercept: y0 = q = 10.7143

Distance line from the origin: d0 = 8.7186

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; 7.5]

Perpendicular Bisector equation: 7x-5y+6 = 0

Vector OA = (1; 10) ;   |OA| = 10.0499
Vector OB = (8; 5) ;   |OB| = 9.434
Scalar product OA .OB = 58
Angle ∠ AOB = 52°17'2″ = 0.9125 rad