Line slope calculator 4x+7y=82
Straight line given by points A[3; 10] and B[10; 6]
Calculation:
Slope: m = -0.5714Slope-intercept form of line: y = -0.5714x+11.7143
Canonical form of the line equation: 4x+7y-82 = 0
Parametric form of the line equation:
x = 7t+3
y = -4t+10 ; t ∈ R
Slope angle of line: φ = -29°44'42″ = -0.5191 rad
X intercept: x0 = 20.5
Y intercept: y0 = q = 11.7143
Distance line from the origin: d0 = 10.1708
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; 8]
Perpendicular Bisector equation: 7x-4y-13.5 = 0
Vector OA = (3; 10) ; |OA| = 10.4403
Vector OB = (10; 6) ; |OB| = 11.6619
Scalar product OA .OB = 90
Angle ∠ AOB = 42°20'13″ = 0.7389 rad