Line slope calculator 4x-7y=12
Straight line given by points A[3; 0] and B[10; 4]
Calculation:
Slope: m = 0.5714Slope-intercept form of line: y = 0.5714x-1.7143
Canonical form of the line equation: 4x-7y-12 = 0
Parametric form of the line equation:
x = 7t+3
y = 4t ; t ∈ R
Slope angle of line: φ = 29°44'42″ = 0.5191 rad
X intercept: x0 = 3
Y intercept: y0 = q = -1.7143
Distance line from the origin: d0 = 1.4884
The length of the segment AB: |AB| = 8.0623
Vector: AB = (7; 4)
Normal vector: n = (4; -7)
Midpoint of the segment AB: M = [6.5; 2]
Perpendicular Bisector equation: 7x+4y-53.5 = 0
Vector OA = (3; 0) ; |OA| = 3
Vector OB = (10; 4) ; |OB| = 10.7703
Scalar product OA .OB = 30
Angle ∠ AOB = 21°48'5″ = 0.3805 rad