Line slope calculator x+5y=28


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[3; 5] and B[8; 4]

Calculation:

Slope: m = -0.2

Slope-intercept form of line: y = -0.2x+5.6

Canonical form of the line equation: x+5y-28 = 0

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

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

X intercept: x0 = 28

Y intercept: y0 = q = 5.6

Distance line from the origin: d0 = 5.4913

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

Vector: AB = (5; -1)

Normal vector: n = (1; 5)

Midpoint of the segment AB: M = [5.5; 4.5]

Perpendicular Bisector equation: 5x-y-23 = 0


Vector OA = (3; 5) ;   |OA| = 5.831
Vector OB = (8; 4) ;   |OB| = 8.9443
Scalar product OA .OB = 44
Angle ∠ AOB = 32°28'16″ = 0.5667 rad