Line slope calculator 9x-2y=34


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[4; 1] and B[6; 10]

Calculation:

Slope: m = 4.5

Slope-intercept form of line: y = 4.5x-17

Canonical form of the line equation: 9x-2y-34 = 0

Parametric form of the line equation:
x = 2t+4
y = 9t+1      ; t ∈ R

Slope angle of line: φ = 77°28'16″ = 1.3521 rad

X intercept: x0 = 3.7778

Y intercept: y0 = q = -17

Distance line from the origin: d0 = 3.6878

The length of the segment AB: |AB| = 9.2195

Vector: AB = (2; 9)

Normal vector: n = (9; -2)

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

Perpendicular Bisector equation: 2x+9y-59.5 = 0

Vector OA = (4; 1) ;   |OA| = 4.1231
Vector OB = (6; 10) ;   |OB| = 11.6619
Scalar product OA .OB = 34
Angle ∠ AOB = 45° = 0.7854 rad