Line slope calculator 3x-5y=-13


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[4; 5] and B[9; 8]

Calculation:

Slope: m = 0.6

Slope-intercept form of line: y = 0.6x+2.6

Canonical form of the line equation: 3x-5y+13 = 0

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

Slope angle of line: φ = 30°57'50″ = 0.5404 rad

X intercept: x0 = -4.3333

Y intercept: y0 = q = 2.6

Distance line from the origin: d0 = 2.2295

The length of the segment AB: |AB| = 5.831

Vector: AB = (5; 3)

Normal vector: n = (3; -5)

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

Perpendicular Bisector equation: 5x+3y-52 = 0

Vector OA = (4; 5) ;   |OA| = 6.4031
Vector OB = (9; 8) ;   |OB| = 12.0416
Scalar product OA .OB = 76
Angle ∠ AOB = 9°42'24″ = 0.1694 rad