Line slope calculator 6x+5y=74
Straight line given by points A[4; 10] and B[9; 4]
Calculation:
Slope: m = -1.2Slope-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 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