Line slope calculator 6x+5y=74


Enter coordinates of two different points:

Straight line given by points A[4; 10] and B[9; 4]

Calculation:

Slope-intercept form of line: y = -1.2x+14.8

Canonical form of the line equation: 6x+5y-74 = 0

Parametric form of the line equation:
x = 5t+4
y = -6t+10      ; t ∈ R

Slope: m = -1.2

Slope angle of line: φ = -50°11'40″ = -0.8761 rad

X intercept: x0 = 12.3333

Y intercept: y0 = q = 14.8

Distance line from the origin: d0 = 9.4747

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

Vector: AB = (5; -6)

Normal vector: n = (6; 5)

Midpoint of the segment AB: M = [6.5; 7]

Perpendicular Bisector equation: 5x-6y+9.5 = 0


Vector OA = (4; 10) ;   |OA| = 10.7703
Vector OB = (9; 4) ;   |OB| = 9.8489
Scalar product OA .OB = 76
Angle ∠ AOB = 44°14'10″ = 0.7721 rad