Line slope calculator 4x+3y=27
Straight line given by points A[3; 5] and B[6; 1]
Calculation:
Slope: m = -1.3333Slope-intercept form of line: y = -1.3333x+9
Canonical form of the line equation: 4x+3y-27 = 0
Parametric form of the line equation:
x = 3t+3
y = -4t+5 ; t ∈ R
Slope angle of line: φ = -53°7'48″ = -0.9273 rad
X intercept: x0 = 6.75
Y intercept: y0 = q = 9
Distance line from the origin: d0 = 5.4
The length of the segment AB: |AB| = 5
Vector: AB = (3; -4)
Normal vector: n = (4; 3)
Midpoint of the segment AB: M = [4.5; 3]
Perpendicular Bisector equation: 3x-4y-1.5 = 0
Vector OA = (3; 5) ; |OA| = 5.831
Vector OB = (6; 1) ; |OB| = 6.0828
Scalar product OA .OB = 23
Angle ∠ AOB = 49°34'26″ = 0.8652 rad