Line slope calculator 5x+8y=45


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[1; 5] and B[9; 0]

Calculation:

Slope: m = -0.625

Slope-intercept form of line: y = -0.625x+5.625

Canonical form of the line equation: 5x+8y-45 = 0

Parametric form of the line equation:
x = 8t+1
y = -5t+5      ; t ∈ R

Slope angle of line: φ = -32°19″ = -0.5586 rad

X intercept: x0 = 9

Y intercept: y0 = q = 5.625

Distance line from the origin: d0 = 4.77

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

Vector: AB = (8; -5)

Normal vector: n = (5; 8)

Midpoint of the segment AB: M = [5; 2.5]

Perpendicular Bisector equation: 8x-5y-27.5 = 0

Vector OA = (1; 5) ;   |OA| = 5.099
Vector OB = (9; 0) ;   |OB| = 9
Scalar product OA .OB = 9
Angle ∠ AOB = 78°41'24″ = 1.3734 rad