Line slope calculator 6x+7y=42
Straight line given by points A[0; 6] and B[7; 0]
Calculation:
Slope: m = -0.8571Slope-intercept form of line: y = -0.8571x+6
Canonical form of the line equation: 6x+7y-42 = 0
Parametric form of the line equation:
x = 7t
y = -6t+6 ; t ∈ R
Slope angle of line: φ = -40°36'5″ = -0.7086 rad
X intercept: x0 = 7
Y intercept: y0 = q = 6
Distance line from the origin: d0 = 4.5555
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; 3]
Perpendicular Bisector equation: 7x-6y-6.5 = 0
Vector OA = (0; 6) ; |OA| = 6
Vector OB = (7; 0) ; |OB| = 7
Scalar product OA .OB = 0
Angle ∠ AOB = 90° = 1.5708 rad