Line slope calculator 5x+y=21


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[3; 6] and B[4; 1]

Calculation:

Slope: m = -5

Slope-intercept form of line: y = -5x+21

Canonical form of the line equation: 5x+y-21 = 0

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

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

X intercept: x0 = 4.2

Y intercept: y0 = q = 21

Distance line from the origin: d0 = 4.1184

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; 3.5]

Perpendicular Bisector equation: x-5y+14 = 0

Vector OA = (3; 6) ;   |OA| = 6.7082
Vector OB = (4; 1) ;   |OB| = 4.1231
Scalar product OA .OB = 18
Angle ∠ AOB = 49°23'55″ = 0.8622 rad