Line slope calculator 4x+5y=66


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[4; 10] and B[9; 6]

Calculation:

Slope: m = -0.8

Slope-intercept form of line: y = -0.8x+13.2

Canonical form of the line equation: 4x+5y-66 = 0

Parametric form of the line equation:
x = 5t+4
y = -4t+10      ; t ∈ R

Slope angle of line: φ = -38°39'35″ = -0.6747 rad

X intercept: x0 = 16.5

Y intercept: y0 = q = 13.2

Distance line from the origin: d0 = 10.3075

The length of the segment AB: |AB| = 6.4031

Vector: AB = (5; -4)

Normal vector: n = (4; 5)

Midpoint of the segment AB: M = [6.5; 8]

Perpendicular Bisector equation: 5x-4y-0.5 = 0

Vector OA = (4; 10) ;   |OA| = 10.7703
Vector OB = (9; 6) ;   |OB| = 10.8167
Scalar product OA .OB = 96
Angle ∠ AOB = 34°30'31″ = 0.6023 rad