Line slope calculator 2x+7y=42


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[0; 6] and B[7; 4]

Calculation:

Slope: m = -0.2857

Slope-intercept form of line: y = -0.2857x+6

Canonical form of the line equation: 2x+7y-42 = 0

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

Slope angle of line: φ = -15°56'43″ = -0.2783 rad

X intercept: x0 = 21

Y intercept: y0 = q = 6

Distance line from the origin: d0 = 5.7691

The length of the segment AB: |AB| = 7.2801

Vector: AB = (7; -2)

Normal vector: n = (2; 7)

Midpoint of the segment AB: M = [3.5; 5]

Perpendicular Bisector equation: 7x-2y-14.5 = 0

Vector OA = (0; 6) ;   |OA| = 6
Vector OB = (7; 4) ;   |OB| = 8.0623
Scalar product OA .OB = 24
Angle ∠ AOB = 60°15'18″ = 1.0517 rad