Line slope calculator 8x+5y=74
Straight line given by points A[3; 10] and B[8; 2]
Calculation:
Slope: m = -1.6Slope-intercept form of line: y = -1.6x+14.8
Canonical form of the line equation: 8x+5y-74 = 0
Parametric form of the line equation:
x = 5t+3
y = -8t+10 ; t ∈ R
Slope angle of line: φ = -57°59'41″ = -1.0122 rad
X intercept: x0 = 9.25
Y intercept: y0 = q = 14.8
Distance line from the origin: d0 = 7.844
The length of the segment AB: |AB| = 9.434
Vector: AB = (5; -8)
Normal vector: n = (8; 5)
Midpoint of the segment AB: M = [5.5; 6]
Perpendicular Bisector equation: 5x-8y+20.5 = 0
Vector OA = (3; 10) ; |OA| = 10.4403
Vector OB = (8; 2) ; |OB| = 8.2462
Scalar product OA .OB = 44
Angle ∠ AOB = 59°15'52″ = 1.0344 rad