Line slope calculator 8x-y=40


Enter the coordinates of two different points:
Line slope diagram

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

Calculation:

Slope: m = 8

Slope-intercept form of line: y = 8x-40

Canonical form of the line equation: 8x-y-40 = 0

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

Slope angle of line: φ = 82°52'30″ = 1.4464 rad

X intercept: x0 = 5

Y intercept: y0 = q = -40

Distance line from the origin: d0 = 4.9614

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

Vector: AB = (1; 8)

Normal vector: n = (8; -1)

Midpoint of the segment AB: M = [5.5; 4]

Perpendicular Bisector equation: x+8y-37.5 = 0


Vector OA = (5; 0) ;   |OA| = 5
Vector OB = (6; 8) ;   |OB| = 10
Scalar product OA .OB = 30
Angle ∠ AOB = 53°7'48″ = 0.9273 rad