Line slope calculator 3x-2y=15
Straight line given by points A[5; 0] and B[7; 3]
Calculation:
Slope: m = 1.5Slope-intercept form of line: y = 1.5x-7.5
Canonical form of the line equation: 3x-2y-15 = 0
Parametric form of the line equation:
x = 2t+5
y = 3t ; t ∈ R
Slope angle of line: φ = 56°18'36″ = 0.9828 rad
X intercept: x0 = 5
Y intercept: y0 = q = -7.5
Distance line from the origin: d0 = 4.1603
The length of the segment AB: |AB| = 3.6056
Vector: AB = (2; 3)
Normal vector: n = (3; -2)
Midpoint of the segment AB: M = [6; 1.5]
Perpendicular Bisector equation: 2x+3y-16.5 = 0
Vector OA = (5; 0) ; |OA| = 5
Vector OB = (7; 3) ; |OB| = 7.6158
Scalar product OA .OB = 35
Angle ∠ AOB = 23°11'55″ = 0.4049 rad