Line slope calculator 5x-y=27


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[6; 3] and B[7; 8]

Calculation:

Slope: m = 5

Slope-intercept form of line: y = 5x-27

Canonical form of the line equation: 5x-y-27 = 0

Parametric form of the line equation:
x = t+6
y = 5t+3      ; t ∈ R

Slope angle of line: φ = 78°41'24″ = 1.3734 rad

X intercept: x0 = 5.4

Y intercept: y0 = q = -27

Distance line from the origin: d0 = 5.2951

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

Vector: AB = (1; 5)

Normal vector: n = (5; -1)

Midpoint of the segment AB: M = [6.5; 5.5]

Perpendicular Bisector equation: x+5y-34 = 0

Vector OA = (6; 3) ;   |OA| = 6.7082
Vector OB = (7; 8) ;   |OB| = 10.6301
Scalar product OA .OB = 66
Angle ∠ AOB = 22°14'56″ = 0.3883 rad