Line slope calculator 3x-4y=12
Straight line given by points A[4; 0] and B[8; 3]
Calculation:
Slope: m = 0.75Slope-intercept form of line: y = 0.75x-3
Canonical form of the line equation: 3x-4y-12 = 0
Parametric form of the line equation:
x = 4t+4
y = 3t ; t ∈ R
Slope angle of line: φ = 36°52'12″ = 0.6435 rad
X intercept: x0 = 4
Y intercept: y0 = q = -3
Distance line from the origin: d0 = 2.4
The length of the segment AB: |AB| = 5
Vector: AB = (4; 3)
Normal vector: n = (3; -4)
Midpoint of the segment AB: M = [6; 1.5]
Perpendicular Bisector equation: 4x+3y-28.5 = 0
Vector OA = (4; 0) ; |OA| = 4
Vector OB = (8; 3) ; |OB| = 8.544
Scalar product OA .OB = 32
Angle ∠ AOB = 20°33'22″ = 0.3588 rad