Line slope calculator 6x+7y=42


Enter coordinates of two different points:

Straight line given by points A[0; 6] and B[7; 0]

Calculation:

Slope-intercept form of line: y = -0.8571x+6

Canonical form of the line equation: 6x+7y-42 = 0

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

Slope: m = -0.8571

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

X intercept: x0 = 7

Y intercept: y0 = q = 6

Distance line from the origin: d0 = 4.5555

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; 3]

Perpendicular Bisector equation: 7x-6y-6.5 = 0


Vector OA = (0; 6) ;   |OA| = 6
Vector OB = (7; 0) ;   |OB| = 7
Scalar product OA .OB = 0
Angle ∠ AOB = 90° = 1.5708 rad