Line slope calculator 4x+7y=32


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[1; 4] and B[8; 0]

Calculation:

Slope: m = -0.5714

Slope-intercept form of line: y = -0.5714x+4.5714

Canonical form of the line equation: 4x+7y-32 = 0

Parametric form of the line equation:
x = 7t+1
y = -4t+4      ; t ∈ R

Slope angle of line: φ = -29°44'42″ = -0.5191 rad

X intercept: x0 = 8

Y intercept: y0 = q = 4.5714

Distance line from the origin: d0 = 3.9691

The length of the segment AB: |AB| = 8.0623

Vector: AB = (7; -4)

Normal vector: n = (4; 7)

Midpoint of the segment AB: M = [4.5; 2]

Perpendicular Bisector equation: 7x-4y-23.5 = 0

Vector OA = (1; 4) ;   |OA| = 4.1231
Vector OB = (8; 0) ;   |OB| = 8
Scalar product OA .OB = 8
Angle ∠ AOB = 75°57'50″ = 1.3258 rad