Line slope calculator 4x+y=46


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[9; 10] and B[10; 6]

Calculation:

Slope: m = -4

Slope-intercept form of line: y = -4x+46

Canonical form of the line equation: 4x+y-46 = 0

Parametric form of the line equation:
x = t+9
y = -4t+10      ; t ∈ R

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

X intercept: x0 = 11.5

Y intercept: y0 = q = 46

Distance line from the origin: d0 = 11.1566

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

Vector: AB = (1; -4)

Normal vector: n = (4; 1)

Midpoint of the segment AB: M = [9.5; 8]

Perpendicular Bisector equation: x-4y+22.5 = 0

Vector OA = (9; 10) ;   |OA| = 13.4536
Vector OB = (10; 6) ;   |OB| = 11.6619
Scalar product OA .OB = 150
Angle ∠ AOB = 17°2'57″ = 0.2976 rad