Line slope calculator 2x-5y=-30


Enter the coordinates of two different points:
Line slope diagram

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

Calculation:

Slope: m = 0.4

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 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; 7]

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

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