Line slope calculator 2x+5y=24


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[2; 4] and B[7; 2]

Calculation:

Slope: m = -0.4

Slope-intercept form of line: y = -0.4x+4.8

Canonical form of the line equation: 2x+5y-24 = 0

Parametric form of the line equation:
x = 5t+2
y = -2t+4      ; t ∈ R

Slope angle of line: φ = -21°48'5″ = -0.3805 rad

X intercept: x0 = 12

Y intercept: y0 = q = 4.8

Distance line from the origin: d0 = 4.4567

The length of the segment AB: |AB| = 5.3852

Vector: AB = (5; -2)

Normal vector: n = (2; 5)

Midpoint of the segment AB: M = [4.5; 3]

Perpendicular Bisector equation: 5x-2y-16.5 = 0

Vector OA = (2; 4) ;   |OA| = 4.4721
Vector OB = (7; 2) ;   |OB| = 7.2801
Scalar product OA .OB = 22
Angle ∠ AOB = 47°29'22″ = 0.8288 rad