Line slope calculator 5x-2y=30


Enter coordinates of two different points:

Straight line given by points A[6; 0] and B[8; 5]

Calculation:

Slope-intercept form of line: y = 2.5x-15

Canonical form of the line equation: 5x-2y-30 = 0

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

Slope: m = 2.5

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

X intercept: x0 = 6

Y intercept: y0 = q = -15

Distance line from the origin: d0 = 5.5709

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; 2.5]

Perpendicular Bisector equation: 2x+5y-26.5 = 0


Vector OA = (6; 0) ;   |OA| = 6
Vector OB = (8; 5) ;   |OB| = 9.434
Scalar product OA .OB = 48
Angle ∠ AOB = 32°19″ = 0.5586 rad