Line slope calculator 4x-3y=13


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[4; 1] and B[7; 5]

Calculation:

Slope: m = 1.3333

Slope-intercept form of line: y = 1.3333x-4.3333

Canonical form of the line equation: 4x-3y-13 = 0

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

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

X intercept: x0 = 3.25

Y intercept: y0 = q = -4.3333

Distance line from the origin: d0 = 2.6

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

Vector: AB = (3; 4)

Normal vector: n = (4; -3)

Midpoint of the segment AB: M = [5.5; 3]

Perpendicular Bisector equation: 3x+4y-28.5 = 0

Vector OA = (4; 1) ;   |OA| = 4.1231
Vector OB = (7; 5) ;   |OB| = 8.6023
Scalar product OA .OB = 33
Angle ∠ AOB = 21°30'5″ = 0.3753 rad