Line slope calculator 2x+5y=54


Enter coordinates of two different points:

Straight line given by points A[2; 10] and B[7; 8]

Calculation:

Slope-intercept form of line: y = -0.4x+10.8

Canonical form of the line equation: 2x+5y-54 = 0

Parametric form of the line equation:
x = 5t+2
y = -2t+10      ; t ∈ R

Slope: m = -0.4

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

X intercept: x0 = 27

Y intercept: y0 = q = 10.8

Distance line from the origin: d0 = 10.0275

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; 9]

Perpendicular Bisector equation: 5x-2y-4.5 = 0


Vector OA = (2; 10) ;   |OA| = 10.198
Vector OB = (7; 8) ;   |OB| = 10.6301
Scalar product OA .OB = 94
Angle ∠ AOB = 29°52'34″ = 0.5214 rad