Line slope calculator 7x+4y=46
Straight line given by points A[2; 8] and B[6; 1]
Calculation:
Slope: m = -1.75Slope-intercept form of line: y = -1.75x+11.5
Canonical form of the line equation: 7x+4y-46 = 0
Parametric form of the line equation:
x = 4t+2
y = -7t+8 ; t ∈ R
Slope angle of line: φ = -60°15'18″ = -1.0517 rad
X intercept: x0 = 6.5714
Y intercept: y0 = q = 11.5
Distance line from the origin: d0 = 5.7056
The length of the segment AB: |AB| = 8.0623
Vector: AB = (4; -7)
Normal vector: n = (7; 4)
Midpoint of the segment AB: M = [4; 4.5]
Perpendicular Bisector equation: 4x-7y+15.5 = 0
Vector OA = (2; 8) ; |OA| = 8.2462
Vector OB = (6; 1) ; |OB| = 6.0828
Scalar product OA .OB = 20
Angle ∠ AOB = 66°30'5″ = 1.1607 rad