Line slope calculator 4x+3y=31


Enter the coordinates of two different points:
Line slope diagram

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

Calculation:

Slope: m = -1.3333

Slope-intercept form of line: y = -1.3333x+10.3333

Canonical form of the line equation: 4x+3y-31 = 0

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

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

X intercept: x0 = 7.75

Y intercept: y0 = q = 10.3333

Distance line from the origin: d0 = 6.2

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-4.5 = 0

Vector OA = (4; 5) ;   |OA| = 6.4031
Vector OB = (7; 1) ;   |OB| = 7.0711
Scalar product OA .OB = 33
Angle ∠ AOB = 43°12'36″ = 0.7542 rad