Line slope calculator 6x+4y=76
Straight line given by points A[6; 10] and B[10; 4]
Calculation:
Slope: m = -1.5Slope-intercept form of line: y = -1.5x+19
Canonical form of the line equation: 6x+4y-76 = 0
Parametric form of the line equation:
x = 4t+6
y = -6t+10 ; t ∈ R
Slope angle of line: φ = -56°18'36″ = -0.9828 rad
X intercept: x0 = 12.6667
Y intercept: y0 = q = 19
Distance line from the origin: d0 = 10.5393
The length of the segment AB: |AB| = 7.2111
Vector: AB = (4; -6)
Normal vector: n = (6; 4)
Midpoint of the segment AB: M = [8; 7]
Perpendicular Bisector equation: 4x-6y+10 = 0
Vector OA = (6; 10) ; |OA| = 11.6619
Vector OB = (10; 4) ; |OB| = 10.7703
Scalar product OA .OB = 100
Angle ∠ AOB = 37°14'5″ = 0.6499 rad