Line slope calculator 8x+3y=72


Enter coordinates of two different points:

Straight line given by points A[6; 8] and B[9; 0]

Calculation:

Slope-intercept form of line: y = -2.6667x+24

Canonical form of the line equation: 8x+3y-72 = 0

Parametric form of the line equation:
x = 3t+6
y = -8t+8      ; t ∈ R

Slope: m = -2.6667

Slope angle of line: φ = -69°26'38″ = -1.212 rad

X intercept: x0 = 9

Y intercept: y0 = q = 24

Distance line from the origin: d0 = 8.427

The length of the segment AB: |AB| = 8.544

Vector: AB = (3; -8)

Normal vector: n = (8; 3)

Midpoint of the segment AB: M = [7.5; 4]

Perpendicular Bisector equation: 3x-8y+9.5 = 0


Vector OA = (6; 8) ;   |OA| = 10
Vector OB = (9; 0) ;   |OB| = 9
Scalar product OA .OB = 54
Angle ∠ AOB = 53°7'48″ = 0.9273 rad