Line slope calculator 5x+4y=60
Straight line given by points A[4; 10] and B[8; 5]
Calculation:
Slope: m = -1.25Slope-intercept form of line: y = -1.25x+15
Canonical form of the line equation: 5x+4y-60 = 0
Parametric form of the line equation:
x = 4t+4
y = -5t+10 ; t ∈ R
Slope angle of line: φ = -51°20'25″ = -0.8961 rad
X intercept: x0 = 12
Y intercept: y0 = q = 15
Distance line from the origin: d0 = 9.3704
The length of the segment AB: |AB| = 6.4031
Vector: AB = (4; -5)
Normal vector: n = (5; 4)
Midpoint of the segment AB: M = [6; 7.5]
Perpendicular Bisector equation: 4x-5y+13.5 = 0
Vector OA = (4; 10) ; |OA| = 10.7703
Vector OB = (8; 5) ; |OB| = 9.434
Scalar product OA .OB = 82
Angle ∠ AOB = 36°11'36″ = 0.6317 rad