Line slope calculator 3x-2y=-10
Straight line given by points A[0; 5] and B[2; 8]
Calculation:
Slope: m = 1.5Slope-intercept form of line: y = 1.5x+5
Canonical form of the line equation: 3x-2y+10 = 0
Parametric form of the line equation:
x = 2t
y = 3t+5 ; t ∈ R
Slope angle of line: φ = 56°18'36″ = 0.9828 rad
X intercept: x0 = -3.3333
Y intercept: y0 = q = 5
Distance line from the origin: d0 = 2.7735
The length of the segment AB: |AB| = 3.6056
Vector: AB = (2; 3)
Normal vector: n = (3; -2)
Midpoint of the segment AB: M = [1; 6.5]
Perpendicular Bisector equation: 2x+3y-21.5 = 0
Vector OA = (0; 5) ; |OA| = 5
Vector OB = (2; 8) ; |OB| = 8.2462
Scalar product OA .OB = 40
Angle ∠ AOB = 14°2'10″ = 0.245 rad