Line slope calculator 5x+2y=42


Enter coordinates of two different points:

Straight line given by points A[6; 6] and B[8; 1]

Calculation:

Slope-intercept form of line: y = -2.5x+21

Canonical form of the line equation: 5x+2y-42 = 0

Parametric form of the line equation:
x = 2t+6
y = -5t+6      ; t ∈ R

Slope: m = -2.5

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

X intercept: x0 = 8.4

Y intercept: y0 = q = 21

Distance line from the origin: d0 = 7.7992

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

Vector: AB = (2; -5)

Normal vector: n = (5; 2)

Midpoint of the segment AB: M = [7; 3.5]

Perpendicular Bisector equation: 2x-5y+3.5 = 0


Vector OA = (6; 6) ;   |OA| = 8.4853
Vector OB = (8; 1) ;   |OB| = 8.0623
Scalar product OA .OB = 54
Angle ∠ AOB = 37°52'30″ = 0.661 rad