Line slope calculator 4x+y=12


Enter coordinates of two different points:

Straight line given by points A[1; 8] and B[2; 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+1
y = -4t+8      ; 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 = [1.5; 6]

Perpendicular Bisector equation: x-4y+22.5 = 0


Vector OA = (1; 8) ;   |OA| = 8.0623
Vector OB = (2; 4) ;   |OB| = 4.4721
Scalar product OA .OB = 34
Angle ∠ AOB = 19°26'24″ = 0.3393 rad