Line slope calculator 5x+6y=65


Enter coordinates of two different points:

Straight line given by points A[1; 10] and B[7; 5]

Calculation:

Slope-intercept form of line: y = -0.8333x+10.8333

Canonical form of the line equation: 5x+6y-65 = 0

Parametric form of the line equation:
x = 6t+1
y = -5t+10      ; t ∈ R

Slope: m = -0.8333

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

X intercept: x0 = 13

Y intercept: y0 = q = 10.8333

Distance line from the origin: d0 = 8.3224

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

Vector: AB = (6; -5)

Normal vector: n = (5; 6)

Midpoint of the segment AB: M = [4; 7.5]

Perpendicular Bisector equation: 6x-5y+13.5 = 0


Vector OA = (1; 10) ;   |OA| = 10.0499
Vector OB = (7; 5) ;   |OB| = 8.6023
Scalar product OA .OB = 57
Angle ∠ AOB = 48°45'6″ = 0.8509 rad