Line slope calculator 5x+3y=50


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[4; 10] and B[7; 5]

Calculation:

Slope: m = -1.6667

Slope-intercept form of line: y = -1.6667x+16.6667

Canonical form of the line equation: 5x+3y-50 = 0

Parametric form of the line equation:
x = 3t+4
y = -5t+10      ; t ∈ R

Slope angle of line: φ = -59°2'10″ = -1.0304 rad

X intercept: x0 = 10

Y intercept: y0 = q = 16.6667

Distance line from the origin: d0 = 8.5749

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

Vector: AB = (3; -5)

Normal vector: n = (5; 3)

Midpoint of the segment AB: M = [5.5; 7.5]

Perpendicular Bisector equation: 3x-5y+21 = 0

Vector OA = (4; 10) ;   |OA| = 10.7703
Vector OB = (7; 5) ;   |OB| = 8.6023
Scalar product OA .OB = 78
Angle ∠ AOB = 32°39'39″ = 0.57 rad