Line slope calculator 6x+4y=64
Straight line given by points A[4; 10] and B[8; 4]
Calculation:
Slope: m = -1.5Slope-intercept form of line: y = -1.5x+16
Canonical form of the line equation: 6x+4y-64 = 0
Parametric form of the line equation:
x = 4t+4
y = -6t+10 ; t ∈ R
Slope angle of line: φ = -56°18'36″ = -0.9828 rad
X intercept: x0 = 10.6667
Y intercept: y0 = q = 16
Distance line from the origin: d0 = 8.8752
The length of the segment AB: |AB| = 7.2111
Vector: AB = (4; -6)
Normal vector: n = (6; 4)
Midpoint of the segment AB: M = [6; 7]
Perpendicular Bisector equation: 4x-6y+18 = 0
Vector OA = (4; 10) ; |OA| = 10.7703
Vector OB = (8; 4) ; |OB| = 8.9443
Scalar product OA .OB = 72
Angle ∠ AOB = 41°38'1″ = 0.7266 rad