Line slope calculator 3x+5y=46


Enter coordinates of two different points:

Straight line given by points A[2; 8] and B[7; 5]

Calculation:

Slope-intercept form of line: y = -0.6x+9.2

Canonical form of the line equation: 3x+5y-46 = 0

Parametric form of the line equation:
x = 5t+2
y = -3t+8      ; t ∈ R

Slope: m = -0.6

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

X intercept: x0 = 15.3333

Y intercept: y0 = q = 9.2

Distance line from the origin: d0 = 7.8889

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

Vector: AB = (5; -3)

Normal vector: n = (3; 5)

Midpoint of the segment AB: M = [4.5; 6.5]

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


Vector OA = (2; 8) ;   |OA| = 8.2462
Vector OB = (7; 5) ;   |OB| = 8.6023
Scalar product OA .OB = 54
Angle ∠ AOB = 40°25'34″ = 0.7056 rad