Line slope calculator x+4y=24


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[0; 6] and B[4; 5]

Calculation:

Slope: m = -0.25

Slope-intercept form of line: y = -0.25x+6

Canonical form of the line equation: x+4y-24 = 0

Parametric form of the line equation:
x = 4t
y = -t+6      ; t ∈ R

Slope angle of line: φ = -14°2'10″ = -0.245 rad

X intercept: x0 = 24

Y intercept: y0 = q = 6

Distance line from the origin: d0 = 5.8209

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

Vector: AB = (4; -1)

Normal vector: n = (1; 4)

Midpoint of the segment AB: M = [2; 5.5]

Perpendicular Bisector equation: 4x-y-2.5 = 0


Vector OA = (0; 6) ;   |OA| = 6
Vector OB = (4; 5) ;   |OB| = 6.4031
Scalar product OA .OB = 30
Angle ∠ AOB = 38°39'35″ = 0.6747 rad