Line slope calculator 8x+3y=54
Straight line given by points A[3; 10] and B[6; 2]
Calculation:
Slope: m = -2.6667Slope-intercept form of line: y = -2.6667x+18
Canonical form of the line equation: 8x+3y-54 = 0
Parametric form of the line equation:
x = 3t+3
y = -8t+10 ; t ∈ R
Slope angle of line: φ = -69°26'38″ = -1.212 rad
X intercept: x0 = 6.75
Y intercept: y0 = q = 18
Distance line from the origin: d0 = 6.3202
The length of the segment AB: |AB| = 8.544
Vector: AB = (3; -8)
Normal vector: n = (8; 3)
Midpoint of the segment AB: M = [4.5; 6]
Perpendicular Bisector equation: 3x-8y+34.5 = 0
Vector OA = (3; 10) ; |OA| = 10.4403
Vector OB = (6; 2) ; |OB| = 6.3246
Scalar product OA .OB = 38
Angle ∠ AOB = 54°51'57″ = 0.9576 rad