Line slope calculator 3x+4y=47
Straight line given by points A[5; 8] and B[9; 5]
Calculation:
Slope: m = -0.75Slope-intercept form of line: y = -0.75x+11.75
Canonical form of the line equation: 3x+4y-47 = 0
Parametric form of the line equation:
x = 4t+5
y = -3t+8 ; t ∈ R
Slope angle of line: φ = -36°52'12″ = -0.6435 rad
X intercept: x0 = 15.6667
Y intercept: y0 = q = 11.75
Distance line from the origin: d0 = 9.4
The length of the segment AB: |AB| = 5
Vector: AB = (4; -3)
Normal vector: n = (3; 4)
Midpoint of the segment AB: M = [7; 6.5]
Perpendicular Bisector equation: 4x-3y-8.5 = 0
Vector OA = (5; 8) ; |OA| = 9.434
Vector OB = (9; 5) ; |OB| = 10.2956
Scalar product OA .OB = 85
Angle ∠ AOB = 28°56'24″ = 0.5051 rad