Line slope calculator x+4y=9


Enter coordinates of two different points:

Straight line given by points A[1; 2] and B[5; 1]

Calculation:

Slope-intercept form of line: y = -0.25x+2.25

Canonical form of the line equation: x+4y-9 = 0

Parametric form of the line equation:
x = 4t+1
y = -t+2      ; t ∈ R

Slope: m = -0.25

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

X intercept: x0 = 9

Y intercept: y0 = q = 2.25

Distance line from the origin: d0 = 2.1828

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

Vector: AB = (4; -1)

Normal vector: n = (1; 4)

Midpoint of the segment AB: M = [3; 1.5]

Perpendicular Bisector equation: 4x-y-10.5 = 0


Vector OA = (1; 2) ;   |OA| = 2.2361
Vector OB = (5; 1) ;   |OB| = 5.099
Scalar product OA .OB = 7
Angle ∠ AOB = 52°7'30″ = 0.9098 rad