Line slope calculator 2x+3y=21
Straight line given by points A[3; 5] and B[6; 3]
Calculation:
Slope: m = -0.6667Slope-intercept form of line: y = -0.6667x+7
Canonical form of the line equation: 2x+3y-21 = 0
Parametric form of the line equation:
x = 3t+3
y = -2t+5 ; t ∈ R
Slope angle of line: φ = -33°41'24″ = -0.588 rad
X intercept: x0 = 10.5
Y intercept: y0 = q = 7
Distance line from the origin: d0 = 5.8244
The length of the segment AB: |AB| = 3.6056
Vector: AB = (3; -2)
Normal vector: n = (2; 3)
Midpoint of the segment AB: M = [4.5; 4]
Perpendicular Bisector equation: 3x-2y-5.5 = 0
Vector OA = (3; 5) ; |OA| = 5.831
Vector OB = (6; 3) ; |OB| = 6.7082
Scalar product OA .OB = 33
Angle ∠ AOB = 32°28'16″ = 0.5667 rad