Line slope calculator 9x+2y=47


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[3; 10] and B[5; 1]

Calculation:

Slope: m = -4.5

Slope-intercept form of line: y = -4.5x+23.5

Canonical form of the line equation: 9x+2y-47 = 0

Parametric form of the line equation:
x = 2t+3
y = -9t+10      ; t ∈ R

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

X intercept: x0 = 5.2222

Y intercept: y0 = q = 23.5

Distance line from the origin: d0 = 5.0979

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

Vector: AB = (2; -9)

Normal vector: n = (9; 2)

Midpoint of the segment AB: M = [4; 5.5]

Perpendicular Bisector equation: 2x-9y+41.5 = 0

Vector OA = (3; 10) ;   |OA| = 10.4403
Vector OB = (5; 1) ;   |OB| = 5.099
Scalar product OA .OB = 25
Angle ∠ AOB = 61°59'27″ = 1.0819 rad