Line slope calculator 4x-y=31


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[8; 1] and B[9; 5]

Calculation:

Slope: m = 4

Slope-intercept form of line: y = 4x-31

Canonical form of the line equation: 4x-y-31 = 0

Parametric form of the line equation:
x = t+8
y = 4t+1      ; t ∈ R

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

X intercept: x0 = 7.75

Y intercept: y0 = q = -31

Distance line from the origin: d0 = 7.5186

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

Vector: AB = (1; 4)

Normal vector: n = (4; -1)

Midpoint of the segment AB: M = [8.5; 3]

Perpendicular Bisector equation: x+4y-20.5 = 0

Vector OA = (8; 1) ;   |OA| = 8.0623
Vector OB = (9; 5) ;   |OB| = 10.2956
Scalar product OA .OB = 77
Angle ∠ AOB = 21°55'47″ = 0.3827 rad