Line slope calculator x+4y=27


Enter coordinates of two different points:

Straight line given by points A[3; 6] and B[7; 5]

Calculation:

Slope-intercept form of line: y = -0.25x+6.75

Canonical form of the line equation: x+4y-27 = 0

Parametric form of the line equation:
x = 4t+3
y = -t+6      ; t ∈ R

Slope: m = -0.25

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

X intercept: x0 = 27

Y intercept: y0 = q = 6.75

Distance line from the origin: d0 = 6.5485

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

Vector: AB = (4; -1)

Normal vector: n = (1; 4)

Midpoint of the segment AB: M = [5; 5.5]

Perpendicular Bisector equation: 4x-y-14.5 = 0


Vector OA = (3; 6) ;   |OA| = 6.7082
Vector OB = (7; 5) ;   |OB| = 8.6023
Scalar product OA .OB = 51
Angle ∠ AOB = 27°53'50″ = 0.4869 rad