Line slope calculator 5x+2y=21


Enter coordinates of two different points:

Straight line given by points A[1; 8] and B[3; 3]

Calculation:

Slope-intercept form of line: y = -2.5x+10.5

Canonical form of the line equation: 5x+2y-21 = 0

Parametric form of the line equation:
x = 2t+1
y = -5t+8      ; t ∈ R

Slope: m = -2.5

Slope angle of line: φ = -68°11'55″ = -1.1903 rad

X intercept: x0 = 4.2

Y intercept: y0 = q = 10.5

Distance line from the origin: d0 = 3.8996

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

Vector: AB = (2; -5)

Normal vector: n = (5; 2)

Midpoint of the segment AB: M = [2; 5.5]

Perpendicular Bisector equation: 2x-5y+23.5 = 0


Vector OA = (1; 8) ;   |OA| = 8.0623
Vector OB = (3; 3) ;   |OB| = 4.2426
Scalar product OA .OB = 27
Angle ∠ AOB = 37°52'30″ = 0.661 rad