Line slope calculator 5x+6y=75


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[3; 10] and B[9; 5]

Calculation:

Slope: m = -0.8333

Slope-intercept form of line: y = -0.8333x+12.5

Canonical form of the line equation: 5x+6y-75 = 0

Parametric form of the line equation:
x = 6t+3
y = -5t+10      ; t ∈ R

Slope angle of line: φ = -39°48'20″ = -0.6947 rad

X intercept: x0 = 15

Y intercept: y0 = q = 12.5

Distance line from the origin: d0 = 9.6028

The length of the segment AB: |AB| = 7.8102

Vector: AB = (6; -5)

Normal vector: n = (5; 6)

Midpoint of the segment AB: M = [6; 7.5]

Perpendicular Bisector equation: 6x-5y+1.5 = 0

Vector OA = (3; 10) ;   |OA| = 10.4403
Vector OB = (9; 5) ;   |OB| = 10.2956
Scalar product OA .OB = 77
Angle ∠ AOB = 44°14'46″ = 0.7722 rad