Line slope calculator 7x+4y=82
Straight line given by points A[6; 10] and B[10; 3]
Calculation:
Slope: m = -1.75Slope-intercept form of line: y = -1.75x+20.5
Canonical form of the line equation: 7x+4y-82 = 0
Parametric form of the line equation:
x = 4t+6
y = -7t+10 ; t ∈ R
Slope angle of line: φ = -60°15'18″ = -1.0517 rad
X intercept: x0 = 11.7143
Y intercept: y0 = q = 20.5
Distance line from the origin: d0 = 10.1708
The length of the segment AB: |AB| = 8.0623
Vector: AB = (4; -7)
Normal vector: n = (7; 4)
Midpoint of the segment AB: M = [8; 6.5]
Perpendicular Bisector equation: 4x-7y+13.5 = 0
Vector OA = (6; 10) ; |OA| = 11.6619
Vector OB = (10; 3) ; |OB| = 10.4403
Scalar product OA .OB = 90
Angle ∠ AOB = 42°20'13″ = 0.7389 rad