Line slope calculator 6x+7y=48
Straight line given by points A[1; 6] and B[8; 0]
Calculation:
Slope: m = -0.8571Slope-intercept form of line: y = -0.8571x+6.8571
Canonical form of the line equation: 6x+7y-48 = 0
Parametric form of the line equation:
x = 7t+1
y = -6t+6 ; t ∈ R
Slope angle of line: φ = -40°36'5″ = -0.7086 rad
X intercept: x0 = 8
Y intercept: y0 = q = 6.8571
Distance line from the origin: d0 = 5.2063
The length of the segment AB: |AB| = 9.2195
Vector: AB = (7; -6)
Normal vector: n = (6; 7)
Midpoint of the segment AB: M = [4.5; 3]
Perpendicular Bisector equation: 7x-6y-13.5 = 0
Vector OA = (1; 6) ; |OA| = 6.0828
Vector OB = (8; 0) ; |OB| = 8
Scalar product OA .OB = 8
Angle ∠ AOB = 80°32'16″ = 1.4056 rad