Line slope calculator 2x+5y=30


Enter coordinates of two different points:

Straight line given by points A[0; 6] and B[5; 4]

Calculation:

Slope-intercept form of line: y = -0.4x+6

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

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

Slope: m = -0.4

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

X intercept: x0 = 15

Y intercept: y0 = q = 6

Distance line from the origin: d0 = 5.5709

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

Vector: AB = (5; -2)

Normal vector: n = (2; 5)

Midpoint of the segment AB: M = [2.5; 5]

Perpendicular Bisector equation: 5x-2y-2.5 = 0


Vector OA = (0; 6) ;   |OA| = 6
Vector OB = (5; 4) ;   |OB| = 6.4031
Scalar product OA .OB = 24
Angle ∠ AOB = 51°20'25″ = 0.8961 rad