Line slope calculator 4x+y=32


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[6; 8] and B[7; 4]

Calculation:

Slope: m = -4

Slope-intercept form of line: y = -4x+32

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

Parametric form of the line equation:
x = t+6
y = -4t+8      ; t ∈ R

Slope angle of line: φ = -75°57'50″ = -1.3258 rad

X intercept: x0 = 8

Y intercept: y0 = q = 32

Distance line from the origin: d0 = 7.7611

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

Vector: AB = (1; -4)

Normal vector: n = (4; 1)

Midpoint of the segment AB: M = [6.5; 6]

Perpendicular Bisector equation: x-4y+17.5 = 0

Vector OA = (6; 8) ;   |OA| = 10
Vector OB = (7; 4) ;   |OB| = 8.0623
Scalar product OA .OB = 74
Angle ∠ AOB = 23°23'7″ = 0.4081 rad