Line slope calculator 5x-2y=15


Enter coordinates of two different points:

Straight line given by points A[3; 0] and B[5; 5]

Calculation:

Slope-intercept form of line: y = 2.5x-7.5

Canonical form of the line equation: 5x-2y-15 = 0

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

Slope: m = 2.5

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

X intercept: x0 = 3

Y intercept: y0 = q = -7.5

Distance line from the origin: d0 = 2.7854

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

Vector: AB = (2; 5)

Normal vector: n = (5; -2)

Midpoint of the segment AB: M = [4; 2.5]

Perpendicular Bisector equation: 2x+5y-20.5 = 0


Vector OA = (3; 0) ;   |OA| = 3
Vector OB = (5; 5) ;   |OB| = 7.0711
Scalar product OA .OB = 15
Angle ∠ AOB = 45° = 0.7854 rad