Line slope calculator 6x+7y=56
Straight line given by points A[0; 8] and B[7; 2]
Calculation:
Slope: m = -0.8571Slope-intercept form of line: y = -0.8571x+8
Canonical form of the line equation: 6x+7y-56 = 0
Parametric form of the line equation:
x = 7t
y = -6t+8 ; t ∈ R
Slope angle of line: φ = -40°36'5″ = -0.7086 rad
X intercept: x0 = 9.3333
Y intercept: y0 = q = 8
Distance line from the origin: d0 = 6.0741
The length of the segment AB: |AB| = 9.2195
Vector: AB = (7; -6)
Normal vector: n = (6; 7)
Midpoint of the segment AB: M = [3.5; 5]
Perpendicular Bisector equation: 7x-6y+5.5 = 0
Vector OA = (0; 8) ; |OA| = 8
Vector OB = (7; 2) ; |OB| = 7.2801
Scalar product OA .OB = 16
Angle ∠ AOB = 74°3'17″ = 1.2925 rad