Line slope calculator 3x+5y=30


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[0; 6] and B[5; 3]

Calculation:

Slope: m = -0.6

Slope-intercept form of line: y = -0.6x+6

Canonical form of the line equation: 3x+5y-30 = 0

Parametric form of the line equation:
x = 5t
y = -3t+6      ; t ∈ R

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

X intercept: x0 = 10

Y intercept: y0 = q = 6

Distance line from the origin: d0 = 5.145

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

Vector: AB = (5; -3)

Normal vector: n = (3; 5)

Midpoint of the segment AB: M = [2.5; 4.5]

Perpendicular Bisector equation: 5x-3y+1 = 0

Vector OA = (0; 6) ;   |OA| = 6
Vector OB = (5; 3) ;   |OB| = 5.831
Scalar product OA .OB = 18
Angle ∠ AOB = 59°2'10″ = 1.0304 rad