Line slope calculator 4x-7y=5


Enter coordinates of two different points:

Straight line given by points A[3; 1] and B[10; 5]

Calculation:

Slope-intercept form of line: y = 0.5714x-0.7143

Canonical form of the line equation: 4x-7y-5 = 0

Parametric form of the line equation:
x = 7t+3
y = 4t+1      ; t ∈ R

Slope: m = 0.5714

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

X intercept: x0 = 1.25

Y intercept: y0 = q = -0.7143

Distance line from the origin: d0 = 0.6202

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; 3]

Perpendicular Bisector equation: 7x+4y-57.5 = 0


Vector OA = (3; 1) ;   |OA| = 3.1623
Vector OB = (10; 5) ;   |OB| = 11.1803
Scalar product OA .OB = 35
Angle ∠ AOB = 8°7'48″ = 0.1419 rad