Line slope calculator 2x+5y=46


Enter coordinates of two different points:

Straight line given by points A[3; 8] and B[8; 6]

Calculation:

Slope-intercept form of line: y = -0.4x+9.2

Canonical form of the line equation: 2x+5y-46 = 0

Parametric form of the line equation:
x = 5t+3
y = -2t+8      ; t ∈ R

Slope: m = -0.4

Slope angle of line: φ = -21°48'5″ = -0.3805 rad

X intercept: x0 = 23

Y intercept: y0 = q = 9.2

Distance line from the origin: d0 = 8.542

The length of the segment AB: |AB| = 5.3852

Vector: AB = (5; -2)

Normal vector: n = (2; 5)

Midpoint of the segment AB: M = [5.5; 7]

Perpendicular Bisector equation: 5x-2y-13.5 = 0


Vector OA = (3; 8) ;   |OA| = 8.544
Vector OB = (8; 6) ;   |OB| = 10
Scalar product OA .OB = 72
Angle ∠ AOB = 32°34'27″ = 0.5685 rad