Line slope calculator 2x+3y=32
Straight line given by points A[1; 10] and B[4; 8]
Calculation:
Slope: m = -0.6667Slope-intercept form of line: y = -0.6667x+10.6667
Canonical form of the line equation: 2x+3y-32 = 0
Parametric form of the line equation:
x = 3t+1
y = -2t+10 ; t ∈ R
Slope angle of line: φ = -33°41'24″ = -0.588 rad
X intercept: x0 = 16
Y intercept: y0 = q = 10.6667
Distance line from the origin: d0 = 8.8752
The length of the segment AB: |AB| = 3.6056
Vector: AB = (3; -2)
Normal vector: n = (2; 3)
Midpoint of the segment AB: M = [2.5; 9]
Perpendicular Bisector equation: 3x-2y+10.5 = 0
Vector OA = (1; 10) ; |OA| = 10.0499
Vector OB = (4; 8) ; |OB| = 8.9443
Scalar product OA .OB = 84
Angle ∠ AOB = 20°51'16″ = 0.364 rad