Line slope calculator 2x+5y=23


Enter coordinates of two different points:

Straight line given by points A[4; 3] and B[9; 1]

Calculation:

Slope-intercept form of line: y = -0.4x+4.6

Canonical form of the line equation: 2x+5y-23 = 0

Parametric form of the line equation:
x = 5t+4
y = -2t+3      ; t ∈ R

Slope: m = -0.4

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

X intercept: x0 = 11.5

Y intercept: y0 = q = 4.6

Distance line from the origin: d0 = 4.271

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

Vector: AB = (5; -2)

Normal vector: n = (2; 5)

Midpoint of the segment AB: M = [6.5; 2]

Perpendicular Bisector equation: 5x-2y-28.5 = 0


Vector OA = (4; 3) ;   |OA| = 5
Vector OB = (9; 1) ;   |OB| = 9.0554
Scalar product OA .OB = 39
Angle ∠ AOB = 30°31'47″ = 0.5328 rad