Line slope calculator 4x-y=12


Enter coordinates of two different points:

Straight line given by points A[3; 0] and B[4; 4]

Calculation:

Slope-intercept form of line: y = 4x-12

Canonical form of the line equation: 4x-y-12 = 0

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

Slope: m = 4

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

X intercept: x0 = 3

Y intercept: y0 = q = -12

Distance line from the origin: d0 = 2.9104

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; 2]

Perpendicular Bisector equation: x+4y-11.5 = 0


Vector OA = (3; 0) ;   |OA| = 3
Vector OB = (4; 4) ;   |OB| = 5.6569
Scalar product OA .OB = 12
Angle ∠ AOB = 45° = 0.7854 rad