Line slope calculator 2x+7y=42
Straight line given by points A[0; 6] and B[7; 4]
Calculation:
Slope: m = -0.2857Slope-intercept form of line: y = -0.2857x+6
Canonical form of the line equation: 2x+7y-42 = 0
Parametric form of the line equation:
x = 7t
y = -2t+6 ; t ∈ R
Slope angle of line: φ = -15°56'43″ = -0.2783 rad
X intercept: x0 = 21
Y intercept: y0 = q = 6
Distance line from the origin: d0 = 5.7691
The length of the segment AB: |AB| = 7.2801
Vector: AB = (7; -2)
Normal vector: n = (2; 7)
Midpoint of the segment AB: M = [3.5; 5]
Perpendicular Bisector equation: 7x-2y-14.5 = 0
Vector OA = (0; 6) ; |OA| = 6
Vector OB = (7; 4) ; |OB| = 8.0623
Scalar product OA .OB = 24
Angle ∠ AOB = 60°15'18″ = 1.0517 rad