Line slope calculator 7x+5y=75


Enter coordinates of two different points:

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

Calculation:

Slope-intercept form of line: y = -1.4x+15

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

Parametric form of the line equation:
x = 5t+5
y = -7t+8      ; t ∈ R

Slope: m = -1.4

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

X intercept: x0 = 10.7143

Y intercept: y0 = q = 15

Distance line from the origin: d0 = 8.7186

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

Vector: AB = (5; -7)

Normal vector: n = (7; 5)

Midpoint of the segment AB: M = [7.5; 4.5]

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


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