Line slope calculator 4x-7y=-16


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[3; 4] and B[10; 8]

Calculation:

Slope: m = 0.5714

Slope-intercept form of line: y = 0.5714x+2.2857

Canonical form of the line equation: 4x-7y+16 = 0

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

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

X intercept: x0 = -4

Y intercept: y0 = q = 2.2857

Distance line from the origin: d0 = 1.9846

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; 6]

Perpendicular Bisector equation: 7x+4y-69.5 = 0

Vector OA = (3; 4) ;   |OA| = 5
Vector OB = (10; 8) ;   |OB| = 12.8062
Scalar product OA .OB = 62
Angle ∠ AOB = 14°28'13″ = 0.2526 rad