Line slope calculator 5x-3y=30
Straight line given by points A[6; 0] and B[9; 5]
Calculation:
Slope: m = 1.6667Slope-intercept form of line: y = 1.6667x-10
Canonical form of the line equation: 5x-3y-30 = 0
Parametric form of the line equation:
x = 3t+6
y = 5t ; t ∈ R
Slope angle of line: φ = 59°2'10″ = 1.0304 rad
X intercept: x0 = 6
Y intercept: y0 = q = -10
Distance line from the origin: d0 = 5.145
The length of the segment AB: |AB| = 5.831
Vector: AB = (3; 5)
Normal vector: n = (5; -3)
Midpoint of the segment AB: M = [7.5; 2.5]
Perpendicular Bisector equation: 3x+5y-35 = 0
Vector OA = (6; 0) ; |OA| = 6
Vector OB = (9; 5) ; |OB| = 10.2956
Scalar product OA .OB = 54
Angle ∠ AOB = 29°3'17″ = 0.5071 rad