Line slope calculator 4x-3y=17


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[5; 1] and B[8; 5]

Calculation:

Slope: m = 1.3333

Slope-intercept form of line: y = 1.3333x-5.6667

Canonical form of the line equation: 4x-3y-17 = 0

Parametric form of the line equation:
x = 3t+5
y = 4t+1      ; t ∈ R

Slope angle of line: φ = 53°7'48″ = 0.9273 rad

X intercept: x0 = 4.25

Y intercept: y0 = q = -5.6667

Distance line from the origin: d0 = 3.4

The length of the segment AB: |AB| = 5

Vector: AB = (3; 4)

Normal vector: n = (4; -3)

Midpoint of the segment AB: M = [6.5; 3]

Perpendicular Bisector equation: 3x+4y-31.5 = 0

Vector OA = (5; 1) ;   |OA| = 5.099
Vector OB = (8; 5) ;   |OB| = 9.434
Scalar product OA .OB = 45
Angle ∠ AOB = 20°41'44″ = 0.3612 rad