Line slope calculator x+5y=30


Enter the coordinates of two different points:
Line slope diagram

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

Calculation:

Slope: m = -0.2

Slope-intercept form of line: y = -0.2x+6

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

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

Slope angle of line: φ = -11°18'36″ = -0.1974 rad

X intercept: x0 = 30

Y intercept: y0 = q = 6

Distance line from the origin: d0 = 5.8835

The length of the segment AB: |AB| = 5.099

Vector: AB = (5; -1)

Normal vector: n = (1; 5)

Midpoint of the segment AB: M = [2.5; 5.5]

Perpendicular Bisector equation: 5x-y-7 = 0

Vector OA = (0; 6) ;   |OA| = 6
Vector OB = (5; 5) ;   |OB| = 7.0711
Scalar product OA .OB = 30
Angle ∠ AOB = 45° = 0.7854 rad