Line slope calculator 8x+5y=72


Enter coordinates of two different points:

Straight line given by points A[4; 8] and B[9; 0]

Calculation:

Slope-intercept form of line: y = -1.6x+14.4

Canonical form of the line equation: 8x+5y-72 = 0

Parametric form of the line equation:
x = 5t+4
y = -8t+8      ; t ∈ R

Slope: m = -1.6

Slope angle of line: φ = -57°59'41″ = -1.0122 rad

X intercept: x0 = 9

Y intercept: y0 = q = 14.4

Distance line from the origin: d0 = 7.632

The length of the segment AB: |AB| = 9.434

Vector: AB = (5; -8)

Normal vector: n = (8; 5)

Midpoint of the segment AB: M = [6.5; 4]

Perpendicular Bisector equation: 5x-8y-0.5 = 0


Vector OA = (4; 8) ;   |OA| = 8.9443
Vector OB = (9; 0) ;   |OB| = 9
Scalar product OA .OB = 36
Angle ∠ AOB = 63°26'6″ = 1.1071 rad