Line slope calculator x+8y=41


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[1; 5] and B[9; 4]

Calculation:

Slope: m = -0.125

Slope-intercept form of line: y = -0.125x+5.125

Canonical form of the line equation: x+8y-41 = 0

Parametric form of the line equation:
x = 8t+1
y = -t+5      ; t ∈ R

Slope angle of line: φ = -7°7'30″ = -0.1244 rad

X intercept: x0 = 41

Y intercept: y0 = q = 5.125

Distance line from the origin: d0 = 5.0854

The length of the segment AB: |AB| = 8.0623

Vector: AB = (8; -1)

Normal vector: n = (1; 8)

Midpoint of the segment AB: M = [5; 4.5]

Perpendicular Bisector equation: 8x-y-35.5 = 0

Vector OA = (1; 5) ;   |OA| = 5.099
Vector OB = (9; 4) ;   |OB| = 9.8489
Scalar product OA .OB = 29
Angle ∠ AOB = 54°43'39″ = 0.9552 rad