Line slope calculator 6x-7y=-28


Enter coordinates of two different points:

Straight line given by points A[0; 4] and B[7; 10]

Calculation:

Slope-intercept form of line: y = 0.8571x+4

Canonical form of the line equation: 6x-7y+28 = 0

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

Slope: m = 0.8571

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

X intercept: x0 = -4.6667

Y intercept: y0 = q = 4

Distance line from the origin: d0 = 3.037

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

Vector: AB = (7; 6)

Normal vector: n = (6; -7)

Midpoint of the segment AB: M = [3.5; 7]

Perpendicular Bisector equation: 7x+6y-66.5 = 0


Vector OA = (0; 4) ;   |OA| = 4
Vector OB = (7; 10) ;   |OB| = 12.2066
Scalar product OA .OB = 40
Angle ∠ AOB = 34°59'31″ = 0.6107 rad