Line slope calculator 4x-7y=-2


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[3; 2] and B[10; 6]

Calculation:

Slope: m = 0.5714

Slope-intercept form of line: y = 0.5714x+0.2857

Canonical form of the line equation: 4x-7y+2 = 0

Parametric form of the line equation:
x = 7t+3
y = 4t+2      ; t ∈ R

Slope angle of line: φ = 29°44'42″ = 0.5191 rad

X intercept: x0 = -0.5

Y intercept: y0 = q = 0.2857

Distance line from the origin: d0 = 0.2481

The length of the segment AB: |AB| = 8.0623

Vector: AB = (7; 4)

Normal vector: n = (4; -7)

Midpoint of the segment AB: M = [6.5; 4]

Perpendicular Bisector equation: 7x+4y-61.5 = 0

Vector OA = (3; 2) ;   |OA| = 3.6056
Vector OB = (10; 6) ;   |OB| = 11.6619
Scalar product OA .OB = 42
Angle ∠ AOB = 2°43'35″ = 0.0476 rad