Line slope calculator 4x+7y=56


Enter coordinates of two different points:

Straight line given by points A[0; 8] and B[7; 4]

Calculation:

Slope-intercept form of line: y = -0.5714x+8

Canonical form of the line equation: 4x+7y-56 = 0

Parametric form of the line equation:
x = 7t
y = -4t+8      ; t ∈ R

Slope: m = -0.5714

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

X intercept: x0 = 14

Y intercept: y0 = q = 8

Distance line from the origin: d0 = 6.9459

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

Vector: AB = (7; -4)

Normal vector: n = (4; 7)

Midpoint of the segment AB: M = [3.5; 6]

Perpendicular Bisector equation: 7x-4y-0.5 = 0


Vector OA = (0; 8) ;   |OA| = 8
Vector OB = (7; 4) ;   |OB| = 8.0623
Scalar product OA .OB = 32
Angle ∠ AOB = 60°15'18″ = 1.0517 rad