Line slope calculator 4x+5y=24


Enter coordinates of two different points:

Straight line given by points A[1; 4] and B[6; 0]

Calculation:

Slope-intercept form of line: y = -0.8x+4.8

Canonical form of the line equation: 4x+5y-24 = 0

Parametric form of the line equation:
x = 5t+1
y = -4t+4      ; t ∈ R

Slope: m = -0.8

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

X intercept: x0 = 6

Y intercept: y0 = q = 4.8

Distance line from the origin: d0 = 3.7482

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

Vector: AB = (5; -4)

Normal vector: n = (4; 5)

Midpoint of the segment AB: M = [3.5; 2]

Perpendicular Bisector equation: 5x-4y-9.5 = 0


Vector OA = (1; 4) ;   |OA| = 4.1231
Vector OB = (6; 0) ;   |OB| = 6
Scalar product OA .OB = 6
Angle ∠ AOB = 75°57'50″ = 1.3258 rad