Line slope calculator x+4y=4


Enter coordinates of two different points:

Straight line given by points A[0; 1] and B[4; 0]

Calculation:

Slope-intercept form of line: y = -0.25x+1

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

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

Slope: m = -0.25

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

X intercept: x0 = 4

Y intercept: y0 = q = 1

Distance line from the origin: d0 = 0.9701

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; 0.5]

Perpendicular Bisector equation: 4x-y-7.5 = 0


Vector OA = (0; 1) ;   |OA| = 1
Vector OB = (4; 0) ;   |OB| = 4
Scalar product OA .OB = 0
Angle ∠ AOB = 90° = 1.5708 rad