Line slope calculator 4x+3y=40


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[4; 8] and B[7; 4]

Calculation:

Slope: m = -1.3333

Slope-intercept form of line: y = -1.3333x+13.3333

Canonical form of the line equation: 4x+3y-40 = 0

Parametric form of the line equation:
x = 3t+4
y = -4t+8      ; t ∈ R

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

X intercept: x0 = 10

Y intercept: y0 = q = 13.3333

Distance line from the origin: d0 = 8

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; 6]

Perpendicular Bisector equation: 3x-4y+7.5 = 0

Vector OA = (4; 8) ;   |OA| = 8.9443
Vector OB = (7; 4) ;   |OB| = 8.0623
Scalar product OA .OB = 60
Angle ∠ AOB = 33°41'24″ = 0.588 rad