Line slope calculator 9x+4y=76


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[4; 10] and B[8; 1]

Calculation:

Slope: m = -2.25

Slope-intercept form of line: y = -2.25x+19

Canonical form of the line equation: 9x+4y-76 = 0

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

Slope angle of line: φ = -66°2'15″ = -1.1526 rad

X intercept: x0 = 8.4444

Y intercept: y0 = q = 19

Distance line from the origin: d0 = 7.7166

The length of the segment AB: |AB| = 9.8489

Vector: AB = (4; -9)

Normal vector: n = (9; 4)

Midpoint of the segment AB: M = [6; 5.5]

Perpendicular Bisector equation: 4x-9y+25.5 = 0

Vector OA = (4; 10) ;   |OA| = 10.7703
Vector OB = (8; 1) ;   |OB| = 8.0623
Scalar product OA .OB = 42
Angle ∠ AOB = 61°4'25″ = 1.0659 rad