Line slope calculator 7x+6y=60


Enter coordinates of two different points:

Straight line given by points A[0; 10] and B[6; 3]

Calculation:

Slope-intercept form of line: y = -1.1667x+10

Canonical form of the line equation: 7x+6y-60 = 0

Parametric form of the line equation:
x = 6t
y = -7t+10      ; t ∈ R

Slope: m = -1.1667

Slope angle of line: φ = -49°23'55″ = -0.8622 rad

X intercept: x0 = 8.5714

Y intercept: y0 = q = 10

Distance line from the origin: d0 = 6.5079

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

Vector: AB = (6; -7)

Normal vector: n = (7; 6)

Midpoint of the segment AB: M = [3; 6.5]

Perpendicular Bisector equation: 6x-7y+27.5 = 0


Vector OA = (0; 10) ;   |OA| = 10
Vector OB = (6; 3) ;   |OB| = 6.7082
Scalar product OA .OB = 30
Angle ∠ AOB = 63°26'6″ = 1.1071 rad