Line slope calculator 4x+y=30


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[5; 10] and B[6; 6]

Calculation:

Slope: m = -4

Slope-intercept form of line: y = -4x+30

Canonical form of the line equation: 4x+y-30 = 0

Parametric form of the line equation:
x = t+5
y = -4t+10      ; t ∈ R

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

X intercept: x0 = 7.5

Y intercept: y0 = q = 30

Distance line from the origin: d0 = 7.2761

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

Vector: AB = (1; -4)

Normal vector: n = (4; 1)

Midpoint of the segment AB: M = [5.5; 8]

Perpendicular Bisector equation: x-4y+26.5 = 0

Vector OA = (5; 10) ;   |OA| = 11.1803
Vector OB = (6; 6) ;   |OB| = 8.4853
Scalar product OA .OB = 90
Angle ∠ AOB = 18°26'6″ = 0.3218 rad