Line slope calculator 5x-y=12


Enter the coordinates of two different points:
Line slope diagram

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

Calculation:

Slope: m = 5

Slope-intercept form of line: y = 5x-12

Canonical form of the line equation: 5x-y-12 = 0

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

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

X intercept: x0 = 2.4

Y intercept: y0 = q = -12

Distance line from the origin: d0 = 2.3534

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

Vector: AB = (1; 5)

Normal vector: n = (5; -1)

Midpoint of the segment AB: M = [3.5; 5.5]

Perpendicular Bisector equation: x+5y-31 = 0

Vector OA = (3; 3) ;   |OA| = 4.2426
Vector OB = (4; 8) ;   |OB| = 8.9443
Scalar product OA .OB = 36
Angle ∠ AOB = 18°26'6″ = 0.3218 rad