Line slope calculator 4x-7y=-34


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[2; 6] and B[9; 10]

Calculation:

Slope: m = 0.5714

Slope-intercept form of line: y = 0.5714x+4.8571

Canonical form of the line equation: 4x-7y+34 = 0

Parametric form of the line equation:
x = 7t+2
y = 4t+6      ; t ∈ R

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

X intercept: x0 = -8.5

Y intercept: y0 = q = 4.8571

Distance line from the origin: d0 = 4.2172

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

Vector: AB = (7; 4)

Normal vector: n = (4; -7)

Midpoint of the segment AB: M = [5.5; 8]

Perpendicular Bisector equation: 7x+4y-70.5 = 0

Vector OA = (2; 6) ;   |OA| = 6.3246
Vector OB = (9; 10) ;   |OB| = 13.4536
Scalar product OA .OB = 78
Angle ∠ AOB = 23°33'8″ = 0.4111 rad