Line slope calculator 2x+7y=32
Straight line given by points A[2; 4] and B[9; 2]
Calculation:
Slope: m = -0.2857Slope-intercept form of line: y = -0.2857x+4.5714
Canonical form of the line equation: 2x+7y-32 = 0
Parametric form of the line equation:
x = 7t+2
y = -2t+4 ; t ∈ R
Slope angle of line: φ = -15°56'43″ = -0.2783 rad
X intercept: x0 = 16
Y intercept: y0 = q = 4.5714
Distance line from the origin: d0 = 4.3955
The length of the segment AB: |AB| = 7.2801
Vector: AB = (7; -2)
Normal vector: n = (2; 7)
Midpoint of the segment AB: M = [5.5; 3]
Perpendicular Bisector equation: 7x-2y-32.5 = 0
Vector OA = (2; 4) ; |OA| = 4.4721
Vector OB = (9; 2) ; |OB| = 9.2195
Scalar product OA .OB = 26
Angle ∠ AOB = 50°54'22″ = 0.8885 rad