Line slope calculator 4x+y=21


Enter the coordinates of two different points:
Line slope diagram

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

Calculation:

Slope: m = -4

Slope-intercept form of line: y = -4x+21

Canonical form of the line equation: 4x+y-21 = 0

Parametric form of the line equation:
x = t+4
y = -4t+5      ; t ∈ R

Slope angle of line: φ = -75°57'50″ = -1.3258 rad

X intercept: x0 = 5.25

Y intercept: y0 = q = 21

Distance line from the origin: d0 = 5.0932

The length of the segment AB: |AB| = 4.1231

Vector: AB = (1; -4)

Normal vector: n = (4; 1)

Midpoint of the segment AB: M = [4.5; 3]

Perpendicular Bisector equation: x-4y+7.5 = 0

Vector OA = (4; 5) ;   |OA| = 6.4031
Vector OB = (5; 1) ;   |OB| = 5.099
Scalar product OA .OB = 25
Angle ∠ AOB = 40°1'49″ = 0.6987 rad