Line slope calculator 6x-7y=-10


Enter coordinates of two different points:

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

Calculation:

Slope-intercept form of line: y = 0.8571x+1.4286

Canonical form of the line equation: 6x-7y+10 = 0

Parametric form of the line equation:
x = 7t+3
y = 6t+4      ; t ∈ R

Slope: m = 0.8571

Slope angle of line: φ = 40°36'5″ = 0.7086 rad

X intercept: x0 = -1.6667

Y intercept: y0 = q = 1.4286

Distance line from the origin: d0 = 1.0847

The length of the segment AB: |AB| = 9.2195

Vector: AB = (7; 6)

Normal vector: n = (6; -7)

Midpoint of the segment AB: M = [6.5; 7]

Perpendicular Bisector equation: 7x+6y-87.5 = 0


Vector OA = (3; 4) ;   |OA| = 5
Vector OB = (10; 10) ;   |OB| = 14.1421
Scalar product OA .OB = 70
Angle ∠ AOB = 8°7'48″ = 0.1419 rad