Line slope calculator 4x-y=11


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[3; 1] and B[4; 5]

Calculation:

Slope: m = 4

Slope-intercept form of line: y = 4x-11

Canonical form of the line equation: 4x-y-11 = 0

Parametric form of the line equation:
x = t+3
y = 4t+1      ; t ∈ R

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

X intercept: x0 = 2.75

Y intercept: y0 = q = -11

Distance line from the origin: d0 = 2.6679

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

Vector: AB = (1; 4)

Normal vector: n = (4; -1)

Midpoint of the segment AB: M = [3.5; 3]

Perpendicular Bisector equation: x+4y-15.5 = 0

Vector OA = (3; 1) ;   |OA| = 3.1623
Vector OB = (4; 5) ;   |OB| = 6.4031
Scalar product OA .OB = 17
Angle ∠ AOB = 32°54'19″ = 0.5743 rad